{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 148,
   "id": "47201f7f-a78f-4876-9eed-3acdfe90f021",
   "metadata": {},
   "outputs": [],
   "source": [
    "#PEG2k_Ag10: Difference: 26.85182970684484%\n",
    "#PEG5k_Ag10: Difference: 19.294905190908267%\n",
    "#PEG_Au5: Difference: 26.97830577194786%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "id": "1fce460f-4f10-40c4-ad3c-c3e67f39fde7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from __future__ import print_function\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import curve_fit\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "id": "8f70b955-af14-466e-a66b-fd62ecf4d9bf",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def load_tga(filename, sheetname):\n",
    "    dg = pd.read_excel(filename, sheet_name=sheetname, usecols=['Temp', 'Mass_corrected'])\n",
    "    return dg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "id": "ba7bebfa-72fe-44f8-8bb0-72ed98c3e3c7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "peg2k = load_tga('ExpDat_bn-07252022-1-PEG2k_Ag10.xlsx', 'data')\n",
    "peg5k = load_tga('ExpDat_bn-07252022-1-PEG5k_Ag10.xlsx', 'data')\n",
    "peg5k_au = load_tga('ExpDat_bn-07292022-1-PEG5k_Au5.xlsx', 'data')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "id": "26cb31c3-3b2d-4105-8f6f-27124867d12c",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "peg2k = peg2k.dropna(subset=['Temp', 'Mass_corrected'])\n",
    "peg5k = peg5k.dropna(subset=['Temp', 'Mass_corrected'])\n",
    "peg5k_au = peg5k_au.dropna(subset=['Temp', 'Mass_corrected'])\n",
    "\n",
    "x_2k = np.asarray(peg2k['Temp'])\n",
    "y_2k = np.asarray(peg2k['Mass_corrected'])\n",
    "\n",
    "x_5k = np.asarray(peg5k['Temp'])\n",
    "y_5k = np.asarray(peg5k['Mass_corrected'])\n",
    "\n",
    "x_5kau = np.asarray(peg5k_au['Temp'])\n",
    "y_5kau = np.asarray(peg5k_au['Mass_corrected'])\n",
    "\n",
    "x_min = 100\n",
    "x_max = 600\n",
    "\n",
    "mask_2k = (x_2k >= x_min) & (x_2k <= x_max)\n",
    "x_2k = x_2k[mask_2k]\n",
    "y_2k = y_2k[mask_2k]\n",
    "max_y_2k = y_2k.max()\n",
    "y_2k = (y_2k / max_y_2k) * 100\n",
    "\n",
    "mask_5k = (x_5k >= x_min) & (x_5k <= x_max)\n",
    "x_5k = x_5k[mask_5k]\n",
    "y_5k = y_5k[mask_5k]\n",
    "max_y_5k = y_5k.max()\n",
    "y_5k = (y_5k / max_y_5k) * 100\n",
    "\n",
    "mask_5kau = (x_5kau >= x_min) & (x_5kau <= x_max)\n",
    "x_5kau = x_5kau[mask_5kau]\n",
    "y_5kau = y_5kau[mask_5kau]\n",
    "max_y_5kau = y_5kau.max()\n",
    "y_5kau = (y_5kau / max_y_5kau) * 100\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 206,
   "id": "ed94dc6e-e7a6-444a-8e77-6c00e4b1bedc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SFIWpU6cyderUSq8JCwvj9ddf92361pjY8goJd/9VtCtEDSl4ao3K0uMZWQq86g52xeoIc6XhdP3IP89rzYozolGAtoYIbkzpxY1dLpSOxiKglCEppC5KpeBQQaUjRAAFhwowRhtJGZJSj9HBBx98QLdu3dDpdMTFxfnVmHqlpKT4ioADad++PeBfAwPQpUsXtmzZAsA777zDf//734CPT09PZ9CgQeh0Or799tuAIx4An3zyCSaTidtuu63CD/r169dXWAl34MABOnTowLx581BVlSuvvJL8/Hzf+TFjxrBw4UJ2795N165dfSMugRKT6pIVrVbLtGnTuPzyy5k/fz4dO3as9Npg3vNgtGjRAkVRAo4CnThxAqDS9zLUGl1C1NwZW0Rje/o++H4z5BWw98RxlNw8Yiz4T6MV18GTR1Z/SWVceEYijHgaL0L10z6i/lU2RQfQI9/pO14xYfqNIt7jtd6tWNyjJZ2j2vBYz0GcF58cdGGkaL68oz1VJUUFhwpQVZXuV3Sv9xqibt26VZnsBGPgwIHodDqWLl3KHXfc4TtuMpl89/76668DPjY9Pd33y/y6deuq3CZq4cKFPP300wwYMIBVq1Zx7rnn+s6df/75vuTLKyEhAbfb7RvZGT9+fMD7zps3jxkzZvgSjED1QlW1nvEaO3Ys/fr149lnn+Wdd96p9LpQvOfgeX/POOMMvxYJXjt27MBkMpGSUj8JtiREDcB44Tlw4TkAlJ9hztyWSdqaNKITo0n7Lo2MTRnYCm2YWpmwF9tx2jxz2Y4SBy67C61Oi8bg+YGl1WtxOVw4rU50YZ7/td4/qy4Vp82J1qDF1NJEZHwkxceKcZQ6iGgbQZeruvBj7BGWtThCEVS6l5rJ4SY530aMzUWnXCvdskuJsam0KXbQwgqtgnwPSoO8TkqGQ6e6NgVGYMrWXKZszQX2UqzZSI4CH/SIZcF5bega3ZZXel1Gh1ZxMt12GqoqKWrIZChUzGYzkyZN4p133uGTTz7hmmuC6zV26NAhBg4ciMvlYt26dQFrkMpq2bIla9asYdSoUQwaNIjly5f7pp+ioqICJhnLly8nIyODe+65hyuvvLLC+XvvvZcPPviAadOmERERQe/evVm8eDEzZ870TZsVFxdXmtCVN336dPr3789rr70W1PW1NW7cOObMmcPhw4dp164d4Fmy/8UXXzBmzJh6WWEGkhA1OuZeZt8HSuturTFEGsg/mE/RkSIMkQYi4yOxF9sppRTFs34J1a2i1VWeDAG4HC704XoUjYI134qt0IYx2kh4q3CKMov45bVfSEhpwR3aNsQkxaCP1GOINHDuzef6fcC5XC7WHt7Dhwd+ZZvNwp/oyLOWkOYsQgX6HCpk5J4C2pU6iUCHy+3Gprpw4+lOXWLQsjkhgk3nJjK6x0Vck3IeS9J+5/U/vicPF+X1OVTIBUcstMu30q7Qk3QZqbzFuo6TI1jVcQNle8lK8uWfKEX9Na971+/5fzXB3AtsoBiwczJn1raKBYsV7eVDMVw7tv6CFfUuUFLUVJKhvXv38tNPP1U47t2RAGDOnDkcOHCA66+/nqVLlzJ27FgSEhIoLS1l9+7dfPLJJ4SFhfmmlrOyshg0aBCZmZnMnTuXrKwssrKyAt67rKioKN9KsKFDh7J06dKATSO95s6di06n44knniAhoeJ+lnfeeSf3338/y5YtY+zYsTz//POMHDmSSy+9lAceeACXy8Wrr75KZGSkbxqqKv369WPs2LEsWbKk2mursn79erKzswHPz4709HRf1+sBAwb4VqRNmTKFBQsWMHLkSJ5//nmMRiOvvPIKVqu1yvKYUJOEqBHzJkeZ2zLZPn879mI79mI7hRmFRMZFUny8GGepE7vF7hsx0hl1aPVa7MV2tHpPEbk3MfKOICkaBdWl4na4wYRv9ChnTw4RrT19NRzFDjR6DfkH84ntEOtLjLRaLUM6dGdIh+41fl0Dyn1/TY+LuKbHRTW+n5fdbufNLavJ+3Y98YV22p+wEGsvd5ECWeE60lsY2d3CwPpOsb5TfQ4VMmJPAV1ybMTYT/7AL5986TiZOGgDnG9uAq2QK7smxpWb79nL7qOvyP9uAy1fegRd2+qXEIumqWxSdHzHcYzRxkafDAE88cQTAY8/+eSTvPjii4Bn+mbFihUsXLiQBQsWcO+995Kfn09ERARdunTh6quv5s477yQmxjM6lpqaSlpaGgA33HBDhXs/++yzlf5AN5lMLFmyhOuuu44RI0awaNGigIXMOTk5fPXVV4waNSpgMgRw44038uijjzJ37lzGjh3L8OHDWbRoEc888wwTJkwgPj6eu+++m6NHj1bZILGsl19+ma+//rpCkfepePbZZ1m/fr3v+3Xr1rFu3TrA0+Zg4MCBgGep/g8//MCUKVO4+eabcTqdXHzxxaxbt65e9+Br1Ju7Nhah3Ny1NspOpxUeKfSbVivN8UxCuRwuNDoNxmgjtkIbjlIHOqMOXZgOl+PkX2ytXovOpMNWaMPtdKPRaXDZPY/Vm/RojVqMkUZKc0sxRBlo17cdKYNTKDxSSMqQlEb/4ReMkpIS7vvpS/YU5eBw2jCg4USAUaryTA43Rpfnn02sxcllu/O58GgR8cUgaYD/ZsHav/fDNHlig8VyuqvLzV29n0fN5fOguXM4HJx77rkkJiayatWqhg4nZEK5uauMEDUhZafTvMpOq53Ye4LSnFK0Bs/IkDHaiNaoxVHiwGFxoNGdrDUqnwwBaA1a3E63r06psLAQnVGHy+4i/ft0jm49SpuubcjZkxNwOq2piYiIYN7fK/5W5+VyudiYdZADRSeI1Bu4uE0H4iOiq6yfsaxYDz9tg8OZZGedQEv1U3inMs3XFJR9d1zfbqD42w2+4+X3iBNNV6DPI9F43HrrrQwdOhSz2cyxY8d46623+OOPP/j3v//d0KE1WpIQNXHlp9W8iZGt0EZMsmdYNz89H3uRHZfdhSHCEDAZ8tKb9DitTmyFNrRGLapbxWVzYS85OQWnoAScTmtutFotfzN34m/mTtVf/BfT8AEw3DMp2D7Ix6gWK9av1sCGrXAsi6JSu19SEUbTnZYrnzqW3SNOe/Q4phsqdqcVQtReUVERU6ZMITs7G71eT69evfjmm28aRYPixkoSomYiUGJUdKQIrVFL50s7c/D7g5QcKwEN2IvtqC7VMyLkcKNoPT+2vDVGLocLXZgOY6QRa4HVlzi5XW4KDhWgj9AT0SqCzF8yyf0zt9knRnVNMYVhunoUXO3pDFu+i7ntwCHcU14Gu6PZ9K9SANenyyj+dBkaQGkVi/Gpe9Gc0aGBIxOiefjss88aOoQmRxKiZiZQIbYuXEfyJcmc2HeCE3+eQFVVwlqE4bQ5Ud2BV6kZI43Yim24HJ6l/d6kCRWcFieFRz3TabYiGxmbMsj9Mxd7sb3Z1Rk1BsaO7XHOfALnrj/RZOXCiQJw2KGgCI5kQVERuE5W7nhbWDX2VXPe0SMVUHPzKX3wRbSAcml/wu69peECE0KcliQhaqbKJkbewkeADa9uIDs121dgHd4qHHuxHcsJi2+VmjcZclqdnmRId3Liw5sYqS4Vt9ON2+XG7XRjL7I3yzqjxkLXsR26ju2CutY7wmRZugY2/gLHc1BP5FFSbnipsSVMCp4pNXXlj5xYv5mIKbdjvOi86h4mhBAhIQlRM1e+8PHKj69kx8IdbJu7DWOUEZfDReGRQk/TRr0WVVU9I0M2FxqNxi8ZKkvRKrhdbrR6LYpGwWFxVFlnlHRhkm/kCJDVKfXANGYIjDlZL1A+AbJs/Y1dn36O8WAmMafQVLOuKYDRasfx4htsNIcTPfVB6ZgthKhzkhCdhnpe35PW3VqTuiiVE/tOYIg00KJDC0pySjix94SvhkhVPdNpqCdHhsryJj+qW0XRKKASsM7o+O/HObjuoG/kCEAfrmfzG5tlFKkBmXqfQ+/e5/i+t3y3ETb/RtrOHUQV2H0r5BqqqFsBLsgsRb3zJRacEcm2cf2YcdEYjMZK2qgLIUQtSEJ0mvImIGlr0ug6pitZqVlo93kaOtoL7bgcLkytTJTmluIocfw1l4FfATbg19soUJ2RoijYSzyNI8EzcqSP1HuSo905uGyugKNIkiDVP9PgvjC4Lz3KHS9NS+fLj+Zjz/Fsvph8ooS2xRDtqPtRJeWvryv2FdPi4/Wcl7UfPQq3nXEhd3bv57ebtxBC1IYkRKexstNp3lqjrmO6krE5w7dKLbxVOLSC4sxiT/LjBq2uYjJUljcxctk857VGT8F2flo+hhgDEURwYN0BIuMj0Rq1FUaRrAVWcv7I8TWflCSpYYWnJHP9U8/4vi8tLeWBDYvYUHCEkbtPMGxfHu1yVczU3QeKAgzOsDJ71WEeHNaON/f9zJv7fmZAi2TeGDRBptOEELUmCZEA/JOjntf3rLBdCOC3TYhGp0HRKH7L9styO92oqurbMsRR6hkhcpQ4yC/JxxBhoPiYZz2Uioo134qjxIEh0oDT6uTguoMYIgzYS+zEJMX4irRlFKnhhYeH89+hN/q+t1qtPPPz12zbn8rYXXm+rt3ehpOhKt5WgH6ZNjbP3wfAcZOGhwdbOStvBo91u4QbuvWRxEgIUWPy6SECMvcyc9m/L+PCey4k4fwE+j/Sn/aXtCcsOszT6dqoQ6PXoGgVz9L9Msu+3U7PyjNvMmQrsqFoFPThelx2Fy67C6fNieWExbO6zebZMkRVVU7sPcHRX45SmlXKif0ncBQ7KMgoIHNrJmmr0/hxxo9k/pJJ6qJUdizcwYYZG3z/zdyW2YDv2OkrLCyMGQOuZM2kZ7h7xkzyX3yA2yb2ZOjNZzDg5jP4Z79YnCF6LqXMV7zFzbPrPf/PX/nje876YgZTf/oah8MRomcTjd3777+Poii+L51OR1JSEhMnTuTIkSOAZ/+ssteU/3r//ff97ul2u/nwww+59NJLadu2LXq9ntjYWPr06cPMmTPJycnxu37gwIEB7zt8+PCAsW7durXWr7tXr14oisLMmTNrfa8OHTqgKAp33XVXhXPe9867ISsE9557PfXUU4waNYrExEQUReGWW26pNI60tDTGjx9PbGwskZGRDB06lG3bttX69Z0KGSESVSo7clR+mxBboY2ohKgKdUaqS0WrP7kXmupW0Yd7OmArGgVdmM43YgSe68NbhWMtsOKwOVAsnrojQ4QBGzbPPVBRUFBRKcgoqHIUSYq0G45Wq+XSTj25tFNPwLNf3F0/fMbd4fsZtbuA7tkWWoRwRVunYheb5u/jv2fHMu+81nyWsZPPMnZyZUJ3nrt4dJXbrIiaU1WVbGsxFpcTk1ZHm7DIBn2v33vvPbp27YrFYuH777/n5ZdfZv369ezYscN3zbRp0wLuKN+p08lO9BaLhbFjx7JmzRomTJjAa6+9RkJCAoWFhWzcuJFXX32VJUuW8MMPP/jdIyUlhYULF/odi42NDe2L/Mv27dv59ddfAZg7dy5TpkwJyX3nzp3Lgw8+SJcuXYK6vqr3PCLCs0n47NmzOfvssxkzZgzz5s2r9F7Z2dn87W9/o0WLFsybN4+wsDBefvllBg4cyJYtW4KOqbYkIRJBq6wbdvk6I0O0AdxgK/Zs/6Hl5JSZNzHy7gCqaBUMkYaTTSAN2pOjSDon9pKT29VrdBrCosPIT8+nIL0AvUlPsbsYY6SRgowCHMWOSrcUkY0oG0ZERAQLhk+E4WCz2Xjyp6/4JnsfQ/fmMfyPXC7Kg9qsGVPwfIjd9Xs+bUqdTO8XD8DnR1P5fFEqK4ffSbvIFqF4KeIvGSX5bM5KJ704H5vLgVGrJzkylgvbJpMUEdsgMZ111ln07t0bgEGDBuFyuXjhhRdYvHgxiYmJAHTu3Jk+ffpUeZ/JkyezevVqPvroI6699lq/c6NGjeKpp56qkPiAZ+f66u4dKu+++y4AI0eOZNmyZWzcuJG+fWu3L+DFF19MamoqTzzxBIsWLQrqMVW959dffz3g2T7EO429YMGCSu/16quvkp2dzcaNG0lOTgagf//+dOrUiWeeeYZPP/20Ni8vaJIQiVMWqBt22Tojt/vkBrHGaM+PO7fT0xXQNzL01y+T3l5ITqvTsz2I0x1wFEmj1aA1abEWWn1TcuVHkbRGz6iUd0sRb+fsjM0Z2Ivtfkv9A/VFkgLuumU0Gpk54EpeVVUO5h7npu8/wphfzIRfMrn2kKPCvmenwrsSzeQ8ytQBCb7jl654m3vOuIi7el6CVqut9Ws43WWU5PNV+i7y7aXEmaIx6aKwOB3sKcjmuKWY0ck9GiwpKsubnKSnp/sSoupkZmYyb948Ro4cWSEZ8goPD+f2228PWZyZmZmMGjWKwsJCvvnmGzp37lzl9VarlY8++ojzzz+f2bNns2zZMubNmxcwIVqyZAlPP/00e/bsITExkQceeIC8vDyee+45VFX1u7Zly5Y89thjPP744/z00081Su7Kvudewdb0ffnllwwePNiXDAFER0czfvx4FixYgNPpRKer+3RFEiJRY+W7YXcd05W079LI2JSBy+YiKiHKlyi16d6G/PR8T8KDgqJT0Og0nr3TbC60eq2nELvM9Fr5USTAL0kqO4rk3aS2sNCzpYjL7iL9+3TSv09Hq9MS1jLMt9Tfmmet0BfJXmxn95LdMvVWDxRFoWPreH4Y/xAOh4P3em3i0VXfMOzXHIYUV//4Su8LjDhYSpgzg8f+nuQ7/sa+n3lj38+8fN5ljO10TuU3EFVSVZXNWenk20tJiWrtmyKL1BuJ0BlIK8plc1Y6iR1iGnyqct8+T+F9mzZtfMfcbjdOZ8VqNu8P2rVr1+J0OhkzZswpP9/+/ftp2bIlhYWFJCcnc8011/DUU09hMpXfmfCknTt3MmLECJKSkti0aROtW7eu9nm++OIL8vLymDRpEp07d6Z///58+umnzJkzh8jISN91K1asYPz48VxyySV8+umnOJ1OZs6cyfHjxyu99wMPPMB//vMfHnnkEb7//vtTewMI/J4Hw2KxsH//fsaNq7jR89lnn43FYiEtLY0zzzzzlGM6VZIQiVqrrM6o6EgRhkiDL5mJTY6lNKsUa4EVrUGLiorL5plic9lcKKqC3qgPOIoEYCuy+SVJ3lEkjVaDqqjYCj1TdKrbc19rgRXVpRLWMgytQcuBdQc8q9hsTpyFTrJ3Z/vqkrwxVjb1BtJduy7o9XruOPcSOPcSbDYbX702h0Hf7yWshvfzLs+/OKOETUkRfuce/3U5yw7u5J2/X1/ruE9H2dZi0ovziTNFV0h4FEUhzhRFenE+2dZi2pqi6jU2l8uF0+nEarWyfv16XnzxRaKiohgzZgx//PEHABMmTAj42MOHD5OUlMThw4cB/EYpvMonUmVHK/r378+ECRN89TTLly9nxowZ/Pjjj6xduzbgKMmaNWu44oorGDZsGAsWLCAsLLi/8XPnziUsLIzrrrsOgFtvvZWJEyfy2WefMWnSJN91zzzzDImJiaxcudLXq2v48OF06NCh0nubTCamTp3K7bffztdff82oUaOqjKWq9/xU5OXloaoqLVu2rHDOeyw3N/eU7llTkhCJkKpsOq0wo5CYpBhad21NaU6pX1G2dxTJGG3EaXN6Roqcqm8UCTwjOKpb9SVJujCdr0hbo9X4umsbI41YC6yejWtdKopW8S311+q12AptGKON6Iw6Cg4VoNFr0Bl02IvtRMZH+loBlJ16yz+YT3jr8Eqn3CRBCg2j0ciVDz+KY3w6zlnv4j5Us1WDCvDvbzOZ2bsVn/Xwrx/6Me8wAz+fxborHwpBxKcXi8uJzeXApAuc7Jh0erKsRVhcoVpTGLzyUzw9e/bkzTffJC4uzpcQTZ8+ncGDB1d4bFxcXJX33r59O+ed57+nXnZ2tm9E58UXX/Q7N2LECDp06MCUKVNYsmRJhZGP+fPn8/bbb3Pfffcxc+ZMv+RSVVVcLv/+bt7k68CBA6xdu5Zrr73WV7B91VVXcf/99zNv3jxfQlRSUsLWrVu59957/RqXRkZGMnr06Aqr6sqaOHEis2fP5rHHHmPEiBFVvi9Vvec1UdWoYn2NOEpCJOpEoOm0sjU7ZYuyDZEGIuMjfYmRwWTAbrGjoKA1epIYRav4akA0Oo1vFEln0OFynkyGvJvSqm7Vk+z8NYqkuj2b0Wp1nvt5OYoduI1uDBjI/TPXV/NUeNQz9WYrspGxKYNIcySJvRMDTrl5p9dARpFCQd8pGd3MJ7F+uASWrsZd/UMqUIApWz2/VZZPirKw0+PzV9h5xaMNPrXTlJi0OoxaPRang0h9xVJ4i9OBUaPHpK3/HysffPAB3bp1Q6fTERcXh9lc8d9fSkqKrwg4kPbt2wP+NTAAXbp0YcuWLQC88847/Pe//602nhtuuIEpU6bw008/VUiIPvnkE0wmE7fddluFv3/r16+vsBLuwIEDdOjQgXnz5qGqKldeeSX5+fm+82PGjGHhwoXs3r2brl27+kZcAiUm1SUrWq2WadOmcfnllzN//nw6duxY6bXBvOfBaNGiBYqiBBwFOnHiBEDA0aO6IAmRqFPlN5ctezzQKFJkXCT2EjttWrehJKeEgvQCtEZP3yMVFZ1R5zeK5LQ70Rn9kyHvFiPeUSRUTxKlulXcLs/jvKNHKJ5aJKvTWiFZ8j4PeFbQ7Vu5D1MrU4UpN+/0WvlRJKlBqjnFFIbp9glY4lqhWbsJ0g6BWz2l5MibFN24K4+HByewu/XJaQkV6LFoOsuH3U5ydGPZ1rZxaxMWSXJkLHsKsonQGSqMbBy3FNElpg1twiKruEvd6NatW5XJTjAGDhyITqdj6dKl3HHHHb7jJpPJd++vv/76lO4ZaLps4cKFPP300wwYMIBVq1Zx7rnn+s6df/75vuTLKyEhAbfb7RvZGT9+fMDnmjdvHjNmzPAlGIHqhY4dO1ZtzGPHjqVfv348++yzvPPOO5VeF4r3HDzv7xlnnOHXIsFrx44dmEwmUlJSav08wZCESDSYykaRohOj/fZWc9vdaAwaDJGGCqNIbrunI7at2OZp8KjRoIn0fAh5R5E0Og1ulxut3lNfpCgKbpcbt8ONNuzkBrVul9vzXFrPc1kLrGi0GjQ6DfYSu68/kqmlyTflVnYTW1Mrk28UqewebTJ6VHOmMUNgzBAALJ98jWbhYoCgEyNvA8cnfzjGjeM6VDh/2ar/8nCPAUzsdnFI4m3OFEXhwrbJHLcUk1aUS5wpCpPOM2J03FJErMHEhW2Tm+yom9lsZtKkSbzzzjt88sknXHPNNTW+1/z584GK00rgGe1Ys2YNo0aNYtCgQSxfvtx3XVRUVMAkY/ny5WRkZHDPPfdw5ZVXVjh/77338sEHHzBt2jQiIiLo3bs3ixcvZubMmb5ps+Li4qATuunTp9O/f39ee+21oF9zbYwbN445c+Zw+PBh2rVrB3iW7H/xxReMGTOmXlaYgSREohEINIpUfm+1qkaRTuw94ashUlW1wlJ/AEX1jOR4O2ejgEbvGTUCPNuQOD3bkGiNJ7tre+uTyvZH8o4iaXQav61ISnNL2bdyHzHJMb492iqrQZLRo1NnumYUFhRY+KWvxX6wiVGXQqdvH7TyXt21nl25mczsH/g3b3FSUkQso5N7+PoQZVmLMGr0dIlp06B9iIKxd+9efvrppwrHk5KSSEryrEqcM2cOBw4c4Prrr2fp0qWMHTuWhIQESktL2b17N5988glhYWHo9XoAfvjhB1566SXGjRtHSkoKVquV5cuX88477zB48GBGjx4dMJaoqCjfSrChQ4eydOnSgE0jvebOnYtOp+OJJ54gISGhwvk777yT+++/n2XLljF27Fief/55Ro4cyaWXXsoDDzyAy+Xi1VdfJTIy0jcNVZV+/foxduxYlixZUu21VVm/fj3Z2dmApwg7PT3d1/V6wIABvhVpU6ZMYcGCBYwcOZLnn38eo9HIK6+8gtVqZerUqbWK4VRIQiQapUB7q1U1imQvtONyuDC1MlVY6u8ocWCMMYLbsyGtRucZ9dFH6HGUOHDZXKhOFTSeFW3eAm5vfVKg/kjeUSTvKJRTd3J6LT89H51R50usytcglR09kn5Ip8Z0zUis3VNQn5sDdlfQiZF3H7Sp6/37FHl9c+xPctZ8wPtDbgpxxM1PUkQsiR1iGlWn6mA88cQTAY8/+eSTvsJok8nEihUrWLhwIQsWLODee+8lPz+fiIgIunTpwtVXX82dd95JTEwM4BlV0mq1vPDCC+Tk5KAoCp07d+b555/nn//8Z5V9eEwmE0uWLOG6665jxIgRLFq0KGAhc05ODl999RWjRo0KmAwB3HjjjTz66KPMnTuXsWPHMnz4cBYtWsQzzzzDhAkTiI+P5+677+bo0aNVNkgs6+WXX+brr7+uUOR9Kp599lnWr1/v+37dunWsW7cO8LQ5GDhwIOBZqv/DDz8wZcoUbr75ZpxOJxdffDHr1q2ja9euNX7+U6Wo5Ts0iQqSkpI4cuQIiYmJZGRkNHQ44i/eJCk6MZqMzRm+Im2Xw+VbRg/4RpecNieOEgf6CD2xybEUHyv21AnZ3TgsDl+iBJ7RJZfdhc6o8zSCdLlP9kfi5Co375+9SZJGp8Fpc6IP12OMNmIrtHmKufVatAYtMcmeD9KCdM8KN2O0kTZd26CP1Pti9a7I00fqZTSpEvb0DFwPvQj2kyuaghktUoFvOoQHTIoALmqRyHt/vzHguaZo9+7d3HDDDXz44Yf1+oNFND4Oh4Nzzz2XxMREVq1a1dDhhEx1f8dP5ee3jBCJJivQKFL5Iu02XdsQaY5kz1d7cJY6CW8dTkRbT3+ayPhIHMUO1L+aG/m2HokwoI3W+hIoRevfHyksJsw3ilR2jzbv9Jo+XI/qUinNLsUQaUB1qdhL7GgdWt/okYqKNd/q2QMOpB/SKTIkJ+F8bSqO/3wAO/8EPDtVq/haVQXkbd6Ya8ri9QvbVjj/c94R/rnhC/7VT6bPRNN26623MnToUMxmM8eOHeOtt97ijz/+4N///ndDh9ZoSUIkmo1ARdpZqVlYC6wk9E7AUepAH66vMAoD+KbZvFNvkfGelTL56fm+ZMU7JeZyuCrs0VZ2+b/3Gl2YztOJu0ySZM3zNKX0jka5HC7y0/LRmrSn1A8pdVGq7zWfrnSJ8TjuvwnueMp3TPnrq6rRIgW48Y9CtiZEVGjeCLA8809if1nB0+cPr/hgIZqIoqIipkyZQnZ2Nnq9nl69evHNN98wZMiQhg6t0ZKESDQ7ZUeOym/qWllfpLIF3N6pN61RS+dLO3Nk6xEsuRZi2sdQmluKo8SBqaWnJX/55f9avaemSav3rF5zWp1+SZK3OFt1qb4aJNWt4i52B90PqcvoLhRnFrNyykpSBqegNWhP2xEjkzkeyz3Xwxv+G25qqD4penFtJn+/8YyA5z8+sJ3zWiUyqkPPkMUqRH367LPPGjqEJkcSItGslV/BVlVfJKg49aYL15HQO4HSnFKKjhQR3iocWoEl14LWqCW2fSwluSW47W7faFB4m3BshTYcpQ50Rs8/sfKb13oLrsv2SAqmH5Il18Ker/Z42gLkWdn61lbadA/cIPJ0Kc42DR+EJSoSXnnb73h1SVG0G6auO8rUgYHriR7ZuozL2nWXTWGFOE1IQiREOeWn3sp21/bWJ+XszsFtd6OP1NO5t2cUqTizGK3B88PTGG1Ea9TiKHHgLHX6irNVt+pXg+TtkaRoPCt0quqHpDPpcFgc2A/ZPQXZUUZUVLJSs8g/mI8x2uibVjvdNqs19bsA+4uRuL5YAdt2+Y5XtwptRHopb5Q4yY4I/FHYf/EcNl3xz9AGK4RolCQhEqISgUaXAvVHKjuK5N2jzbuaLD/ds4eay+HyFWeXrUFyO90oqlJtPySdUedpKqlRcDvcOOwOUD2Jl+WExVOcrULxsWJ0Jp2vcLy64uzmNIpkOKcb6lldsP7rHfhhq9+5ykaLFOD9JQcZeV3gqbMC1cHE7z7kvcE3hDxeIUTjIgmREKegsv5IgfZoK1uD5B09UlFx2Vy+GiFboa3afkiGcINvJZzb6enMXX4lm73ETuHRQgwRnj87LA5fawEIXJzdHEeRFK0Gwz9uwJ6WDkey/c5VlhS1dcBl+wpZfkZ0wHv+fCKD9//4iVu6Vew6LIRoPiQhEqIWKhtFClSD5B09ikqI8q1qa3VmK1/SotVrff2QvKNIilPxaw7pdroDrmRT3SoajQaHxYFW55mqy07N9hV/ly/ONsYYgx5FamqjR9qoSPQvTMHx+HQ47t+Vt7Kk6KkNWZUmRAAzdq1jUGJn2fdMiGZMEiIhQqyqGiTv6JEh0uDrOVRdPyRrvhWX3QUqAVeveQu2UcHt8DSRdLs8P/YDFWe7nW6cFmdQo0hltxvxdtVuCtNsujat4OVHcTz5KmTm+J0LlBQZgKlrjzJ1UOACa4Bxq+byyxUPN/qOzEKImpGESIg6Ut3oUbD9kAyRBgoOeTpbo+Jbvea3xF8Fp8PpV4NUfpsRa4HVF4uKWu0oUtntRqx5Vg6uO+jbRy4mKQZrgZWcP3IabXKka9MK17MP4L73WXD6p0CBkqIRh0qZWsX9rLi5Y/1H/Hfg9SGOVAjRGEhCJEQ9CtQ8srp+SIZIAx0u6cDRX47itDsJaxHmqTn6a4m/d7RH0Si+GiTv1iLll/gDfskSBB5FAs9I1b6V+zC1MuG0ObHl2LDkWghvFY6tyEb2zmwOrjvoV4NUdm+2xpAgGRPNWB7/B7zwRrXXKsDCLw5w/fiOlV6zIecwm46mcXFCSgijFEI0BpXvPCeEqDPmXmb6PdKPntf3pN8j/XyJkvfYZf++jIHPDqRdv3a07tqa6PbRmM83E2WOwhhtRB+hR2fUoTfp0Zl0ns1qTXq0YZ4907wNH41RRk+xtlv1tXEumyzpwz1bkrhsLk8NU6kD1aWiKAr2EjvWAisFhwpw2pyggr3Ejq3YRtGRIo7vPI6j2EFBRgGZWzNJW53GjzN+JPOXTDa/sZnlDywnc1smmdsy2TBjA5nbMhvkvQ47/xwY0rfC8UAffp2LXLQpcQY4c9IdGz/D7Q5m5zRR195//30URfF96XQ6kpKSmDhxIkeOHAE8G4qWvab81/vvv+93T7fbzYcffsill15K27Zt0ev1xMbG0qdPH2bOnElOjv8U7MCBAwPed/hw/07n3li3bvVfAVkTvXr1QlEUZs6cWet7dejQAUVRuOuuuyqc87533h3qIbj3HODgwYOVvueffPJJreOuCzJCJEQjVX406byJ55HzRw7b5m6jdefWlOSUUJBegNaoJTohGluxDUOkgdLcUtxOd4XibPA0gfSODJXdh63sEn/vnmzertpOq9NXzK036bGcsGA5YcEQYcCGjdLcUlRU3xYn2buzUVB8Rdrla5HqeyWbotWgveFyXN9vBbvd71z5qTMF+OjLgwy9IfAyfAAX8ODGL/l3/yvqItwmQ83Nw/X7brRnd0Vp1aJBY3nvvffo2rUrFouF77//npdffpn169ezY8cO3zXTpk1j0KBBFR7bqVMn358tFgtjx45lzZo1TJgwgddee42EhAQKCwvZuHEjr776KkuWLOGHH37wu0dKSgoLF/p3S4+NjQ3ti/zL9u3b+fXXXwGYO3cuU6ZMCcl9586dy4MPPkiXLl2Cur6q9zwi4uSWOPfddx/XXXed32M7d+4ckphDTRIiIRq5srVI5l5mWndrTeqiVLT7PDVE3gaRCb0TyN7tWWoe3iq8QnE2+E+JBdqs1rsnm3dVW9lO2qpLBT2eAm/AqXNiLzmZYGh0GnRGHQWHCtBH6IloFUHmL5mYWpl8tUgum8tvJVt9JUaGVi2xPHwrvPRmhXPlk6JYF3TLsfJH67BK77f62F4O5OfQMbZ16INtIlx/7Me9Yw/o9ej6927QWM466yx69/bEMGjQIFwuFy+88AKLFy8mMTER8PwQ7tOn6tYJkydPZvXq1Xz00Udce+21fudGjRrFU089VSHxATCZTNXeO1TeffddAEaOHMmyZcvYuHEjfftWHAE9FRdffDGpqak88cQTLFq0KKjHVPWeX3/9yTq79u3b19t7U1syZSZEE2PuZab7Fd1JOD+B/o/0J2VYCq27tkYXrqN119Yk9E6gddfWRJojMcV6CqYj4yOJjI9EZ9QR0z4GfYTeMzJk0J5sFGnQ4rQ70eq1qC7V10lbdato9VoUreIbRfJNtdldvr3ZVJeKrdDmGYUqcZB/KB+A0txS9q3cB4DWqCXzl0z2r9rPuufW1eu0mrHXOXBm4Pqg8h+Eby7LqPZ+N677EFVVQxBZ06PmnEBNOwTRkahph1BzTlT/oHrk/QGcnp4e9GMyMzOZN28eI0eOrJAMeYWHh3P77beHJEbvc55//vl07tyZvXv3Vnu91Wrlo48+4vzzz2f27NkAzJs3r8J1t9xyCx06dKhwfOrUqQFXSbZs2ZLHHnuML774gp9++unUXwg1e88bG0mIhGiCytcbXXjPhcS0i+HCey7kwnsu9CVLZ445E/P5Zlw2z6hOx4EdMUQaCG8VTouUFmj1nm7ZOqMOU0sTYS3CUFXV01U7XI+iVTzTaHqNrxbJW4OECqj4T7MZtZ7O3H8lSk6bE0eJA3uJnfz0fIqPFfum5zI2ZfgSo81vbKbgcAGpi1LrLCnSGHQok28J6toIoHu2tcprTjitfPjn5toH1gS5dqehWqxo4tugWqy4dqc1dEh+9u3zJOBt2rTxHXO73TidzgpfXmvXrsXpdDJmzJhTfr79+/fTsmVLdDodnTp14sknn8RisVT5mJ07d3LRRRdhNBrZtGlTUNNIX3zxBXl5eUyaNInOnTvTv39/Pv30U4qLi0855vIeeOABEhMTeeSRR2r0+EDvOcArr7yCwWAgPDyc/v37s3Tp0lrHWleaZEJUVFTE5MmTSU5OxmQy0bdvX7Zs2eI7f8stt1Qo4moqQ3ZC1IQ3QaquOLu6UaTY5Fj0EXrPNJtRi0anwRjj6artTZK8BdveIm2tTovL6WkSqdVrK4wieYu0rXlW34o2l82zEa4l10LGpgyObj1KWEwYJcdKWDllJTsW7qjspdaKIS4OugVeIVZhlOib6keJXt6xFpfLFYLImg7v6JDSKhYApVVsg48SuVwunE4nxcXFLFu2jBdffJGoqCi/5GbChAno9foKXxkZnv/Phw8fBiA5ObnC/StLogD69+/PrFmzWLRoEUuXLmXEiBHMmDGD4cOHV1p8v2bNGvr168dFF13Ed999R+vWwU29zp07l7CwMF9Nzq233kpxcXFIdrY3mUxMnTqVH374ga+//rra66t7z41GI7fffjtvvvkm3333He+++y4ul4uxY8f6pv0amyZZQ3Tbbbexc+dOFixYQEJCAh9++CFDhgwhNTXVN188fPhw3nvvPd9jDAZDQ4UrRIOqrFFkoCX+ZbcbseRa/LpqG6ONvhok1ami6DxD7067Z/NaY6TRU2DtVv0Ktr2jR+W3G1FdKvYSO1qDFkuuhT1f7cEQacBlc7H5/zwjLz2v7xnS90Jj0KHcdzPqfc+Bq+IPq7L1ROF4RolS21ReSwQw5aclzO43PqRxNma+0aG2nq7dSmQE7tx8XLvT0PVv2SAxlf+Ft2fPnrz55pvExcXxxx9/ADB9+nQGDx5c4bFxcXFV3nv79u2cd955fseys7N9ScyLL77od27EiBF06NCBKVOmsGTJEsaNG+d3fv78+bz99tvcd999zJw5028KS1XVCgm2Tuf5MX3gwAHWrl3Ltdde6yvYvuqqq7j//vuZN28ekyZNqvJ1BGPixInMnj2bxx57jBEjRlR5bVXvOYDZbOadd97xu+aqq67ioosu4rHHHuOWW27xvbbGosmNEFksFhYtWsSMGTO45JJLOOOMM5g6dSodO3bkzTdPFkwajUbi4+N9Xy1bNsw/VCEai1MZRUronYD5fDNavRZDpIHY5FgMkQZ0Rh0RrSMwxBjQ6rXoI/SEtQjz1BcV29AatX6jSGVHjwDftJrL4fIlSVqDZ8uSgkMF5KfnE9E2AnuxnW+f/JbvX/w+5O9DWLtEeDi4OpD/C2KUaGXmnzgcjtqG1SSUHx3yauhRog8++IAtW7bw66+/cvToUX7//Xf69evnd01KSgq9e/eu8KXXe5qitm/fHqhYA9OlSxe2bNnCli1bgq4fuuEGz2bAgepxPvnkE0wmE7fddluFep7169dXGME6ePAg4KkVUlWVK6+8kvz8fPLz83E4HIwZM4YNGzawe/fuoGKrilarZdq0aezatYv58+dXeW0w73l5er2eCRMmkJubG1TNVH1rXOlZEJxOJy6Xi7Aw/9/aTCYTP/74o+/7devW0bZtW2JjYxkwYAAvvfQSbdu2rfS+s2bNYtasWQHPZWY2TP8UIepLVduNlO2q7e1UHRsRS/HxYhQU9JF68tPzcZQ4fF2vvaNI3tEjqLjdiHeKzeVwoWgUUEF1quTs8fR5cdqc/Pzaz6T/kM6Ql4eEdEWa7uweOI0GsNkrnCs/ShRf5OBYlL7K+93542fMG9T8O1i7dqehFpWgREWgWsrUWGm1qEUlDTZK1K1bN9+Kp5oaOHAgOp2OpUuXcscdd/iOm0wm372DmUoqS6OpOOawcOFCnn76aQYMGMCqVas499xzfefOP/98v/IPgISEBNxut69f0vjxgUcj582bx4wZMwAICwvDZrNVuKZ8D6VAxo4dS79+/Xj22WcrjPCUVdP33LsQIdB709CaXEIUFRXFxRdfzAsvvEC3bt2Ii4vj448/5ueff/YVpV122WVcddVVJCcnc+DAAZ5++mkGDx7ML7/8gtFoDHjfwsJCv6ZSQpyOKttupGxXbe9eZtGJ0aR9l8bx344T3iocWoEl14LWqCW2fSwluSW47W5cDhfOUmeF7Ua8yZCXLkyHzqTDmm9Fq9cS3jqcvIN5ZGzMYP1z6+lxdY+QdcHWR4XjfOIf8Oy/A573JkUK8MHidIbdWHlfIoCfcg/jcDh8ow3NkepyQ1ExSlQEFJVUOO89rrrcKNrG98OuOmazmUmTJvHOO+/wySefcM0119T4Xt7RlUC1qy1btmTNmjWMGjWKQYMGsXz5ct91UVFRAZOM5cuXk5GRwT333MOVV15Z4fy9997LBx98wLRp09DpdHTo0IGsrCyOHz/um8Ky2+2sXLkyqPinT59O//79ee2114J+zcFwOBx8+umntG7dmjPOqPrfVENocgkRwIIFC5g0aRKJiYlotVp69erFddddx7Zt2wBP8ZyXt1dCcnIyy5YtqzS7jo6O9tUflZeZmSmdacVpq3ySVFbrbq39RpFyduf4+iJ17u2pRSrOLPYlP97tRmyFNhwWh2dTWjyb1upMOmyFfxVkR+gpPl7s6cRt1HFo0yGy/8jGfJ7Zt01IbfsY6Tp3whlmAGvFUaKyYt2gcau4NVVv6nrXj58xtxmPEilaDdqBfcBexfSg0dBok6G9e/cGnMJKSkoiKSkJgDlz5nDgwAGuv/56li5dytixY0lISKC0tJTdu3fzySefEBYW5kt8f/jhB1566SXGjRtHSkoKVquV5cuX88477zB48GBGjx4dMJaoqChWrFjB+PHjGTp0KEuXLg3YNNJr7ty56HQ6nnjiCRISKm5AfOedd3L//fezbNkyxo4dy4QJE3jmmWe45pprePjhh7Farbz22mtBLwDo168fY8eOZcmSJUFdH8hDDz2Ew+GgX79+xMfHc/jwYV5//XW2b9/Oe++9h1arrfG960qTTIg6derE+vXrKSkpobCwELPZzIQJE+jYMXCPEbPZTHJycpVzlg899BAPPfRQwHNJSUkyeiREAIH2ZsvYnIG92O6rRSrNKeXE3hOU5pSiNXg+BI3RRqz5Vlx2T+NIbzLkPef9c2RcJAAFhwsoOV5SoQt2bRo86qPCcT4e3CjR5//bz/gJVf9Gu+k0GCVSTGFgqrrIvLF64oknAh5/8sknfYXRJpOJFStWsHDhQhYsWMC9995Lfn4+ERERdOnShauvvpo777yTmJgYwPOzRavV8sILL5CTk4OiKHTu3Jnnn3+ef/7zn1VOC5lMJpYsWcJ1113HiBEjWLRoUcBC5pycHL766itGjRoVMBkCuPHGG3n00UeZO3cuY8eOpWPHjixZsoQnnniCK6+8ErPZzEMPPUR2djbPPfdcUO/Xyy+/zNdff13jVZRnnXUWb7/9Nh999BGFhYVERUVx4YUXsnLlSoYNG1aje9Y1RW0GncXy8vLo2LEjM2bM8Jv79crNzSUxMZF33nmHm2666ZTv702IEhMTfUs0hRCVC1SLlH8wnxN7T2ArtBGTHIO92E7BoQI0eo1v49lAyVDxcU+PFZ1Rh73E7uuCXZpbiiHKQLu+7bjwngtrlBQ5ikpx3vowWCrWW8DJWiIVuPDm6of4z40189GQm085jrqye/dubrjhBj788EO6du3a0OEIEXLV/R0/lZ/fjXNssxorV65kxYoVHDhwgNWrVzNo0CC6dOnCxIkTKS4uZsqUKWzatImDBw+ybt06Ro8eTevWrSssfxRC1I3yK9q8K9lShqb4GkUaIg10uKQDLpsLh8VRZTJkjDaiuj39jJwWJ4VHCwHPNiLp36fz1Z1f1ah3kT4qHB6ruKmll/cDUgHeW3Kw2vttz8/Ebq96Ck4I0Tg1ySmzgoICHn/8cTIyMmjZsiVXXHEFL730Enq9HqfTyY4dO/jggw/Iz8/HbDYzaNAgPv30U6Kioho6dCFOW2Wn17x1R/pwPfHnxpPzRw4lWSVo9VqiEjz/TssmQ06L07MaTeup41FdqmdlGlCaU4o1z8qPMzyrTE+1d5Gucyeceh04qt7lvkd+1ee9pvy8hNf+dtUpxSCEaHhNMiG6+uqrufrqqwOeM5lMQVfSCyHqX/m6o/Mmnsfeb/ay5Y0tuP9qlliSXYLqUglrEeZLhsrShenQ6DU4LU4URUGj01CaW8raqWvZ8/Ue+j3cL+gpNF14GM7hl8BX3wU8X7aW6Jl1R3l+YOA6Dq9vj+/H5XI1yqJRIUTlmuSUmRCi6Ss7rXbJU5cwbOYwIs2RlOaWotFrCGsRhr3Y7tk3rQzvijRvoqQL0xHeOhyNVkNpVikH1x1k/XPrg94TTdFq0F4xHILomjs8vbTaa1Rg7h+bgnpuIUTjIQmREKJR6Hl9T/o/0p/opGgiWkUQGR+JRq9BVVVUt4rqUiskQ1q9FlNLEw6LA0epA1NrE1qDliObj5xSXZE+NhZGDKj0vPeDUg9cnlp9N+Z3//xZWnUI0cRIQiSEaDR6Xt+T0W+PxtzbU3gd3iqcmPYxaLSexAgNAZMhW6ENY7QRvUmPRqdB0SoUZhSydupaPr/282pHixStBu34S6GKZdLeM/dvrT4hKnY7+C7jz1N56XXCu+z7dNlaRJx+vH+3Q9H5WhIiIUSjYu5l5sJ7LqRdv3Yk9E6gddfWRJojiWgdgdPi9GwIW0ky5LB4PhzDYsPQGrSnNIWmi4qGHtUvrY9UITE/8DL9smbtXEdDdzWJj48H4Ndff23QOISoK96/22Zz7bf2aZJF1UKI5i1Qw8e079I4+N1BSnNKQUOlyZD3z94pNIBDmw7x5Y1f8rcn/lbpKjSNQYf2vptx3fFklbEpwMM/ZTF5eLsqrztYmk9mcT4JUS1O/Q0IkejoaMaNG8frr78OwHnnndesG0eK04fD4eDXX3/l9ddfZ9y4cSFZRS4JkRCi0Sq7bUjrbq0xRBo4tv0YJ/70dL4Oiw0LmAx5E6WI1hHYS+yU5pRScKig2qX5mugYXDFRUFAU+DyeFWcXHrcFtZ3HO39sYuqFFbsP16fHH38cIOT7UgnRGIwbN873d7y2mkWn6romnaqFaDwyt2Wy4dUNHN16FHuxHUWroDPqKk2GvP2MwqLDcNgc6E16EnonVLo03/rHXtRHplf6/N5S6Uf6t2Ftp5gqYw3X6Nh8+UONYmfvoqIi2ZdRNBsajQaz2VztyNCp/PyWESIhRJNi7mXmyo+vZMfCHWyas4mijCLcTneVyVBkXCSGCANFx4p8dUXFR4uJOzeuwl5o2qTEKhs1ekeJ7tmWW21CVOp2siPnCOe0rXp6rT5ERUVJc1ohqtDwv7YIIUQNeFekJVyYgNvupjSnFH24vtJkqCSnxK+u6Nj2Y+xftZ/Nb2z2K7jWhYfBiIHVPn9SqRuDvfqNL5/7VRrFCtEUSEIkhGiyzL3MDHx2IMkDk4loG4HqUinJKQmYDHlHjwDcTjeGKAMuu4ujW4/6JUWKVoPuiuGe6ukqaIDu2ZZqY9xdlCPL3oVoAiQhEkI0ad4ptEFTB2FqZaIkqwSX3VVpMuT9c3RiNBqdBpfNRc7uHL+kSBMWDhHhlT6nBk++9OjP2UHF+NTWb2r7MoUQdUwSIiFEs+DtdB3TLgadUYfD4qg0GfJOq2n1WkytTFhyLX4jRYpWA11Tqn3OlCIXOmf1RcqrjvyJy1X99JoQouFIQiSEaDZ6Xt+T8R+OJ+niJJylTl9dEVRMhgCMMUZsBTZQwZpv5fjvx0ldlMrxndlo77i2yufS/PU16s/8auOy4eLHY2m1fHVCiLokCZEQolkpX1fksruw5lv9Cq6hTDIEaPQa3C43pdmlHNlyhLQ1aSiRUWAyVvt8d22vfisPgC/Sfqv5ixJC1DlJiIQQzU7ZuqLopGjCW4aj0WkoySkB/JMh8HS91hl1OG1OclJzcNld6KPC4Ym7q32ulg4IswZeol/Wxux06QEkRCMmCZEQotnyLs1vf0l7dEYdLpsLRatUSIa8wluFE94qnL3L97Jj4Q4MXTqDTlvp/b3F1cMOBu5sXVaJ28HO3KO1eTlCiDokCZEQolnzbhabMjSFFp1aYMm1+JKgssmQ3qQnpn0MbXu2BWDz/20m9ZPfIDqy2ue495fcoGKZv3dLDV6BEKI+SEIkhGj2zL3MXPbvy4g/Nx5DlAHVqWLJP9lDyJsMmVp6mjaGxYSRn57Ppv/7lfwxV1R7/1hncNNmPxxPk2kzIRopSYiEEKeNc28+l3Z926GP1KOg4Ha6KyRDlhMWcvbkoNFqcNvdbF6aiauKvci802bD0wqrff5il0ybCdFYSUIkhDhteKfPIuIiMEYZCW8VHjAZAmjboy1RiVHk7MqiVBNR7b2v350fVAyfH5DVZkI0RpIQCSFOK+ZeZs6/9XzCWoahM+kCJkOtu7T2HcdoYHv4uVTXVtFc5A5q2mzdsf2oqlqblyCEqAOSEAkhTjs9r+/JhXdfCEDegbyAyZDlhAVrgRVdmA6rIQYnWiqr/tEAOsCpq/4jNcdeSmZxfkhehxAidCQhEkKclrxJkb3YTuavnj3MyidDAKpbpeh4Iepfu71WlhRpgRH7CoJ67k/2b6tt+EKIEJOESAhx2up5fU/adG+DRqshKj6qQjIUFhNGdGI0oJDrjq522uyO34Jbfv9Nxm6ZNhOikZGESAhxWuv3cD86XdoJFZXCI4V+yZC3jsjUMoKf89tRVUakAVpbg1t+f8xaxLGS4EaThBD1QxIiIcRpzbvyrHXX1tiLPfuclU2GwFNnVJjr9syLUfm0mQY4M89WydmT3CCbvQrRyEhCJIQ47Zl7mUkZnILW4Ml4yidDxceKMUbqsbv1eCe6AiVFCnDP1uCmzb4+tKt2QQshQkoSIiGEAAqPFBKTFENYTBiWE54u1t5kKDI+ktiu8WxQe+KqotG0Buhxwo7OWX036h15x3G5qqtKEkLUF0mIhBACSBmSQoszWhBljgIge3e2Lxlq0bEFAK7o1mhUKp8zAwyAudBe7fNZVadMmwnRiEhCJIQQeKbNul/RnYj4CLR6LY5ih18yBGAptOBUNL5Pzsqmzcb9Wf02HgArD++ufeBCiJCQhEgIIf5i7mWmbfe2lOSUYGpl8k+GTliwFTjY5zD7LTYLlBRderAQjbv6ZfWbsw/J8nshGglJiIQQooxAtUTe3kQqCnsciVS1Yb0GaGkjqDqiLJssvxeisZCESAghyihfS1S+N1F4/F+jRlXkO1qga6612udyIsvvhWgsJCESQogyytYSRZmjUBTPlh1lexM5MFDVRJcC3LQzL6jn+/bIn7WMWAgRCpIQCSFEOd6kSEXFaXP6JUOWAhsHiUct8+lZfrBIA5x/zBrUtNn2vEzcVc3BCSHqhSREQggRJE9NkUJJj95/bfV6UvmUxuQmqMLqQqeNXScyQxWiEKKGJCESQogA0takoQ/X03FQR8BTSwSe0aOoDjG4tfoqH68BumdbgnouqSMSouFJQiSEEAGkDEnBGG0EPEmQqaUJcy8zMe1jQGsgPzwORxWPV4Ar9hYF9VzfZ+6vfcBCiFrRNXQAQgjRGJl7mQFIXZSKoiiccekZvnMFhwqwFxiIdOP5tVJT8bdLDXDBMQs6pxunrurfPfcW5eJyudBqtSF9DUKI4MkIkRBCVMJXXK2qFBzy9AsqOFRA5q/H2ZvfEs1fyRAEXoUf6QiuWLrU7WDD8QOhCVoIUSOSEAkhRBXKJkVHfj5C5rZMrAVWtDEmT0JURvn0x+AOrkEjwPacI6EJWAhRIzWaMtu/fz/fffcdGzduJCMjg5ycHMLDw2nTpg09e/ZkwIABXHLJJRgMhlDHK4QQ9c7cy0zOHzlsXrcZp81JZNtIzOe2wbU3Eq212O9a7ywaeBo0di9wsC2s+o/a309IQiREQwo6IVJVlY8//pi33nqLDRs2+I6Vt3TpUqZNm0aLFi245ZZbuOeee+jYsWPoIhZCiHqWuS2TrNQs2nRtgyXfQptubYhJisCa1Rqt3YbW7V9eXTYpmrTPxrY4U7XP8UdBFm63G035YSchRL0I6l/eihUrOPvss7nhhhvYs2cPt912G3PnzuW3337j2LFj2O12CgoKOHDgACtWrGDq1Kl069aN2bNn061bNx566CHy8oLr2iqEEI1N2po0bIU2Ei9K5IxLz/CsNNPoOHZWP9zaqj9Gux0rDmraLM9hlX5EQjSgoBKiESNG0Lp1a7766iuOHj3K22+/zS233ELPnj1p27YtOp2OqKgokpOTGTZsGE8//TQ//PADBw4c4JFHHuG9997j9ddfD1nQRUVFTJ48meTkZEwmE3379mXLli2+86qqMnXqVBISEjCZTAwcOJBdu3aF7PmFEKcX7xJ8b2G1lzssHBzOKh9rslW1ON+f9CMSouEElRB99913rF27lpEjR57SstD27dvz/PPPc/DgQcaOHVvjIMu77bbbWL16NQsWLGDHjh0MGzaMIUOGcOSIZw5+xowZzJo1i//85z9s2bKF+Ph4hg4dSlFRcD1BhBCirECrzQAK0vPA7QI3qGUGgcp+sBodLsLc5ftaB7Yl+1CIIhZCnKqgEqKBAwfW6kliYmI455xzanUPL4vFwqJFi5gxYwaXXHIJZ5xxBlOnTqVjx468+eabqKrKnDlzePLJJxk/fjxnnXUW8+fPp7S0lI8++igkMQghTj/lk6KCQwVk/paFAwNuqLCVR1lX5FXd1dprT2G27GsmRANpctV7TqcTl8tFWFiY33GTycSPP/7IgQMHOHbsGMOGDfOdMxqNDBgwgI0bN1Z631mzZpGUlBTwKzNT5vWFECeToqLMIg6sPQBoOEgCDrR+n6blU5ordmYHdf98qSMSosGEpFP10aNH+b//+z92796Noih0796df/zjH8THx4fi9n6ioqK4+OKLeeGFF+jWrRtxcXF8/PHH/Pzzz3Tu3Jljx44BEBcX5/e4uLg40tPTK71vYWGhb8pNCCGC4bA42W9KoLM2o8K5sivNWuUUYbBHYzdUXXKgAhuOH6Bn68SQxyqEqFqtR4jWrFnDGWecwX/+8x8OHz7Mn3/+ybRp0zjjjDNYv359KGKsYMGCBaiqSmJiIkajkddee43rrrvOr75JUfwHsFVVrXCsrOjoaBITEwN+yTJYIQR4lt+nLkolyhxFx0EdMbU00fbcJFR94N8tvSNFepcbbZCfI3sLghtNEkKEVq1/0k+ePJlRo0Zx9OhRfv75Z3777Tf27NlDmzZtePDBB0MRYwWdOnVi/fr1FBcXc/jwYTZv3ozD4aBjx46+USnvSJFXVlZWhVGjsh566CEyMjICfpnN5jp5HUKIpsW7/D6mfQwx7WN8S/A1AXqylaV1ODmPiKCeY3dBVsAeb0KIuhV0QvSf//wn4PE9e/bwj3/8g/DwcN+xlJQUxo8fT2pqau0jrEJERARms5m8vDxWrlzJ2LFjfUnR6tWrfdfZ7XbWr19P37596zQeIUTzFnD5vepG1emoLoW5bn9JUM9xpKSAYyUF1V8ohAipoBOiKVOm0Ldv3wpJTnJyMl988YXfsaKiIlatWkVycnJooixn5cqVrFixggMHDrB69WoGDRpEly5dmDhxIoqiMHnyZKZNm8aXX37Jzp07ueWWWwgPD+e6666rk3iEEKeHgMvvNTry2nXDFWCdWdkP2J6pR9G4qx/5seOWjV6FaABBJ0Tbt29Hp9PRq1cvnnnmGex2OwDPPfccb7zxBl26dOGaa65h3LhxdOjQgdTUVJ577rk6CbqgoIB77rmHrl27ctNNN9G/f39WrVqFXu9Z2vrII48wefJk7r77bnr37s2RI0dYtWoVUVFRdRKPEOL0USEpUjSk69qjulVP0dBfhUPlP1xNRRb0QW70ujc/K6QxCyGqp6inOFn9zjvv8Nhjj9G2bVveeecdLrnkEn7++WfmzJnDnj17AOjWrRsPPvggvXv3rpOg61tSUhJHjhwhMTGRjIyKq0mEEKcfb4F1ybESijLzuUz9HqMGv0yofFJ00/hO7Iqqvklj39bJvDvw2pDGK8Tp6FR+fp/ysvs77riDMWPGcP/99zN48GBuvfVWZsyYwccff1zjgIUQoqkx9zKT80cOm9dtxm2z44gzYNDY/SbOyi69B7jqmBpUQrSvKEc2ehWintXoX1t8fDyfffYZS5YsYeXKlXTr1o3PP/881LEJIUSjlbktk6zULNp0bUN0u1js0a1RA9QRlZ0kuyDtRFB1RCdsJaTmHav2OiFE6NTq14+RI0eSmprK1VdfzbXXXsvYsWOluaEQotnzTpcpikLiRYmccdmZ5Fw0CJfeEPB6b1IUU2wNKiFyAttz5LNUiPp0SgnR0qVLGTFiBGeddRYjRoxgyZIlhIeHM2fOHDZt2sShQ4fo3r07b7zxRl3FK4QQDa5sPyIvd1g4SjXJjsFqR1/lrmdlnqMop1YxCiFOTdAJ0Xvvvce4ceNIS0vjrLPO4uDBg4wfP5558+YB0Lt3b7Zu3cqTTz7Jo48+St++fdm1a1edBS6EEA2lsn5ESjXdiLRON+e6TUE9R1phbm1CFEKcoqAToldffdXXh+iTTz5h165d9OvXj5kzZ/qu0Wq1PPLII+zYsYPo6Gh69epVJ0ELIURDCtiPSNFgj4hBDfCxWvbI5UccQT3H7sIsXC5XCKIVQgQj6IQoIyODPn36+FY9KIpCnz59Ai5j69ixIytWrOC9994LXaRCCNGIBOpHVGhOwaHo/Cqpy3/Inrc/N6g6okKnXRo0ClGPgk6IevTowRdffOFLgDIzM1m8eDFnnXVWpY+RztBCiObMLyk6XMQhbTsc9qqbL0aW2tEGkRCBFFYLUZ+CTohmzpzJ8ePH6dixIwkJCSQnJ3PkyBFeffXVuoxPCCEaNW9SVJRZxL5v0z1L78t8spZPj4wqtNCFBXXvvYXZoQtUCFGloBsz9uvXjz/++IMPP/yQjIwM2rVrx3XXXUf79u3rMj4hhGgyDNFGtOEGcDhQwbeezK9Bo8VKt5Zmsk6kV3u/tKJcVFVFUYJbmSaEqLlT6lTdrl07Hn/88bqKRQghmhxvT6IocxRJFyag+W4nBKib9iVFNjt9SzSsD+Le3p3vzZGxIY1ZCFGR9IUXQogaKtugMaZ9DLidqDodbgjYbcg7fdZ/y8Gg7m9Hdr4Xor4ElRDNnDkTi8VS4yfZsmULy5cvr/HjhRCiMarQoFFr4PB5f8elN1b5uNaHswl3Bvcc+wqkjkiI+hBUQvTss8/SsWNHXnjhBdLS0oK6scPhYPHixYwcOZI+ffpIk0YhRLMTqEGjKzIGVVt1NYJO0dA+skVQz3G4OL82IQohghRUDdGePXt44oknmDp1KlOnTuW8886jT58+9OrVi7i4OFq0aIHFYuHEiRPs3buXzZs388MPP5Cfn0/79u358MMPufbaa+v6tQghRL0y9zIDkLoolYJDBb6RIlWr9yuq9ir7G+g5LRPYfTSv2ufYU5gtO98LUQ+CSoiSkpL44IMPePrpp3nrrbdYsGAB27ZtC7jyQVVVNBoNl1xyCXfeeSfjx49Hr9eHPHAhhGgMKiRF7aJwazQo4JcU+aUzxaUkRMfC0ervn20tJjXvGGe1Sghp3EIIf6e0yqxz587861//YubMmfz+++9s3LiRjIwMcnNzMZlMtGnThp49e/K3v/2N2NjYOgpZCCEaF7+kKD0PrctZ9a5mFitnZduCurcDld9yj0pCJEQdO6WEyEtRFM455xzOOeecUMcjhBBNki8p+t/vFKgRxFCMoUxbRr9eREDXjX9g6qrFola/X9mx0oJqrxFC1I5MSgshRIiYe5npftXZ7Gt1LmqA3zfLdq0O23+YFGNMUPc9WiIJkRB1TRIiIYQIMSU2EjSBu0v7kiKXm86xbYK6368njuJ2V71HmhCidiQhEkKIECnbqFExVF6R4E1t2kUGN0KUY/MUVgsh6o4kREIIEQLlu1Z7lt4rlRZXOy02erQMrlDaiex8L0Rdk4RICCFCwK9rtaLBaQhD1VQ+SqRabFysb0mEEtzalrSinFCFKoQIQBIiIYQIAb+u1aobV1g4Tn3lyY4WN+51P9MtNi6o+2eWFIYqVCFEAJIQCSFECJh7mel+RXdUVaUgo4RjPfrhNoRXer0GcG/bSefo1kHdf1fBcSmsFqIO1SghKi4u5tChQzid/rsTfvrpp1x//fXcfvvtbN++PRTxCSFEk1E2Kco7bkOppMeQ74O31EKniOD2NMuzl7LrRGZoAhVCVFCjhOjRRx+le/fu2GwnO62++eabXHfddXz88cfMnTuXv/3tb+zZsydkgQohRFPgS4pQcDjcVe5nhkbD2W2SgvogdgEbjh8IWZxCCH81Soh++OEHhgwZQkREhO/Yyy+/TGJiIt9//z2fffYZLpeLV199NWSBCiFEU2HuZab75V3ROR1Vb+GRl0/XqLa00puCuq80aBSi7tQoITpy5AgpKSm+73fs2EFGRgb3338//fv358orr2TMmDGsX78+ZIEKIURTEneuGX2LSAC/pMivCqjEgkajoUdsfFD3zLGWhCw+IYS/GiVEFosFg8Hg+/7HH39EURSGDRvmO5aSksKRI9I3QwhxelK0GjCZcAf4mPUlRU4X7l920CkmuI7VqQVZUlgtRB2pUUKUlJTE77//7vt+2bJltGjRgp49e/qO5ebmEhkZWfsIhRCiCTr2yxHyC9yAWqGOCE4mRY5Fy0mIiA7qnrm2YimsFqKO1Gi3+8suu4w33niDhx9+mLCwMFasWMGNN96Iopz8Z797927at28fskCFEKKpyNyWSeqSP9HH9+Lc4mPgdga8zg1oMjLpGdkaHZ6O1FXxFlb3bJ0Y4oiFEDVKiB5//HG++uor/vWvfwEQHx/Pc8895zt/6NAhNmzYwP333x+aKIUQookou4VHROc4XAf1aO2VpzpONHRtkUALvYlsh6Xa+0thtRB1o0YJUXx8PLt27eLbb78F4JJLLiE6+uSQb1FREf/617+49NJLQxOlEEI0Ed4tPOJ6xnlGhv4aOFch4NSZq8TqK6xel139svrDJfmhDFcI8ZcaJUQAJpOJUaNGBTzXo0cPevToUeOghBCiqUoZkkLqolQKDhUQkxQBGt1fVUSBF+DrcKHm5tEppk1QCdGewixcLhdarTbEkQtxeqtxQhTIpk2b+PrrrwkPD2fixIkkJAS3k7MQQjQX5l5mAF9SZI1uheJyoLNbA16vBZzrfiKhtzmo+xc4bGw4foBLEs4IVchCCGq4ymzKlCmEhYVx4sQJ37HPP/+cv/3tb7z88ss8/fTT9OrVS5bdCyFOS75u1YqWvS3Oxa0PCzhd5v0Adv+8nZ6x8QQz5qMCv+UeDV2wQgighgnR2rVrGTRoEC1btvQde/rpp4mJieGDDz5gxowZ5Obm+oquhRDidONNihw6PVjtFc77ffgWF9M1qi0t9ZVvBlvW4eIT1V8khDglNUqIDh06ROfOnX3f7927lz179nD//fdzww03MGXKFEaMGME333wTskCFEKKpMfcy031cd1xarV8FUYUPXr0ejUZDr1ZJQd33YNEJVLXKTUGEEKeoxrvdl2266O1Ufdlll/mOde/enYyMjNpHKIQQTVj8+YkYW0X5HQvUa1rRamgXFRvUPQ+U5HG8tLD2wQkhfGqUEJnNZr+d7FesWEFkZCTnn3++71hhYSFGo7H2EQohRBOmutzo9SqKolS+p9mJfFSXG3N4cB2rS10OdkjHaiFCqkarzAYMGMDHH3/MG2+8QVhYGIsXL2bMmDF+y0D37dtHUlJww79CCNFcKVoNDlUPqgYNLr9zbv76rdRmR92fTs+2CWih3FUVqcD+whyG1knEQpyeajRC9OSTT2Iymbj//vu5/fbb0ev1PPvss77z2dnZrFu3jn79+oUsUCGEaIq8e5q5FU3le5q53DhWfk/3FvG01kcEdd+j0qBRiJCq0QjRGWecQWpqKosWLQJg1KhRdOjQwXc+PT2du+++m+uuuy4kQQohRFPk29PMfD5nOdaiWhyVJkWa/engdNO9ZRzHj6dVe++decdQVdVvD0khRM3VaIQIPHVE9957L/fee69fMgTQu3dvZs+ezQUXXFDb+CpwOp089dRTdOzYEZPJREpKCs8//zxu98kZ+VtuuQVFUfy++vTpE/JYhBCiMv57msXj1ukCJkPgmQJzWBwoWg3JkS0rucpfekm+FFYLEUK17lTtdDr5888/KSgoIDo6mi5duqDThbQBtp/p06fz1ltvMX/+fHr06MHWrVuZOHEiMTExPPDAA77rhg8fznvvvef73mAw1FlMQghRXvk9zbSOir2IynLmF6O63KREtw7q/ha3k99zjxIfEROKcIU47dV4hCgvL4877riD2NhYevbsSf/+/Tn77LOJjY3ljjvuIDc3N5Rx+mzatImxY8cycuRIOnTowJVXXsmwYcPYunWr33VGo5H4+HjfV9kmkkIIUddShqRgjDZScMizO72q1aESeEczBdCF6QHoF9cx6N9Ufz8hHauFCJUaJUR5eXlcfPHFvPvuu5hMJoYNG8ZNN93EpZdeSnh4OO+++y59+/b129ojVPr378+3337Ln3/+CcBvv/3Gjz/+yIgRI/yuW7duHW3btuXMM8/k9ttvJysrq8r7zpo1i6SkpIBfmZmyvFUIcWp823eoKgWHi3Dp9KBU/pGrd3umzOIjokkwBTfqk1laEKpwhTjt1Whu64UXXuDPP//k8ccf58knnyQ8/GS7eYvFwrRp03jppZd48cUXmTVrVsiCBXj00UcpKCiga9euaLVaXC4XL730Etdee63vmssuu4yrrrqK5ORkDhw4wNNPP83gwYP55ZdfKu2NVFhYKHuvCSFCyrfR6/9+x21z49bo0Lgq2cajxIJrTxq67mdwdot4DlmqT3bS/upYLYXVQtRejRKixYsXM2jQIF566aUK50wmEy+88AKbNm1i8eLFIU+IPv30Uz788EM++ugjevTowfbt25k8eTIJCQncfPPNAEyYMMF3/VlnnUXv3r1JTk5m2bJljB8/PuB9o6OjSUxMDHguMzPTr2hbCCGCZe5lBreb3Lf+pM2JNEzlEiLfmJHbjXPND+i6n0FceHAjRBmlBRwvLZQ6IiFCoEZTZkePHq121dZFF13E0aOhn99++OGHeeyxx7jmmmvo2bMnN954Iw8++CAvv/xypY8xm80kJyezd+/eSq956KGHyMjICPhlNptD/jqEEKcPc+9EWtx8GZQbySn/AazuTcdtd5IQIR2rhahvNUqIYmJiSE9Pr/Ka9PR0YmJC/1tLaWkpGo1/2FqttsoRnNzcXA4fPiyJjRCiwcT3TcEYa/J9X9mHr6LV0LOlp2N1dbwdq4UQtVejhGjgwIH873//Y82aNQHPf/vtt/zvf/9j4MCBtYktoNGjR/PSSy+xbNkyDh48yJdffsmsWbMYN24c4Nl4dsqUKWzatImDBw+ybt06Ro8eTevWrX3XCCFEfVNdbvSKAy1VfPBaLKgut3SsFqIB1KiG6Nlnn2XZsmVceumljBgxggEDBhAXF8fx48dZt24dy5cvJzw8nGeeeSbU8fL666/z9NNPc/fdd5OVlUVCQgJ33nmn77m0Wi07duzggw8+ID8/H7PZzKBBg/j000+Jioqq5u5CCFGH9J5+aGXHs/2So79WoWk0GulYLUQ9q1FC1L17d1atWsUtt9zCsmXLWLZsmWcnZ9XTYaNTp068//779OjRI6TBAkRFRTFnzhzmzJkT8LzJZGLlypUhf14hhKgNRasBnQ63ouBWVV8i5NvgFcBq81wHno7VQSRE3o7VUlgtRO3UuKV037592bNnDxs2bODXX3+lsLCQ6OhozjvvPPr16ye/rQghRBmqy42zsBRFpcIWHr6kqLAId1YuWnMb6VgtRD2r1R4biqLQv39/+vfvX+Hc66+/ztq1a/niiy9q8xRCCNEsHN+eidNhIkJTgsFtq3DeDWjcKs51P6G9drSvY7UziHv/fuIow9p3C3XIQpxWarx1R3W2bdvGkiVL6ur2QgjRZHh3vT+QeAGYTJVu8uoG3D9vR3W5T6ljtaw0E6L26iwhEkIIUW7X+05tUFxVj/k4cwtQXW4UReGclsG1CtldkCXNY4WoJUmIhBCiDnl3vY9p7xnt8W7yGogK2K0nz6ZEtwnqOXJtJaTmHatlpEKc3iQhEkKIOuS3672iwa3RoFD5rvd6k8a30qxTdKugnsMJbM+RvRiFqA1JiIQQog757XqfnofWUXFz17L0lhJUl2f666yWZoxBfkz/fkISIiFqQxIiIYSoY2WTIjt6XFp9wOs0AHYn7n0HAYgLj6ZdkMvp/yzI9vWCE0KcuqCX3Y8YMeKUbrxjx45TDkYIIZqrirveO/zO+347VU/ueq8oCt1bxLOvJK/a+x+Sne+FqJWgE6IVK1ac8s2lOaMQQpxk7p0IN18Gc/7P77jfUL16ctd7jUHH2S0TWZrxR7X3tkqDRiFqJeiE6MCBA3UZhxBCnBbi+6ZQtCASMguBSuoW9DpfYfXZrRKCvvdvuUekQaMQNRR0QpScnFyXcQghxGlBdbnR66up9bHZPb2ItBq6t4inhc5InrNid+vyfs3NCFGUQpx+pKhaCCHqkaLVgMFY9UWak0vvNRoNXWLigrr3nsIcXC5XbUMU4rQkCZEQQtQj1eUGuw3+SnjcZb58ThT4lt4DXNg2uBF6i9vJj8fSQharEKcTSYiEEKIeKVoNRESAwUD5sRxfCmS1Ql6B73i/uI5B33/T8YO1DVGI05IkREIIUY9UlxulZQxOXeBeRG4AuwPHdxt9x3q0jCdKE/j68n7PlQaNQtSEJERCCFGPNAYdeRcNosSurfQaN+DettM3babRaDi7ZXCrzf4sypU6IiFqQBIiIYSoR5nbMkldlY5WrXx3ehVw5Bb61RGd0yoxqPuXuh1SRyREDUhCJIQQ9SRzWyapi1JRNFoUo46qWtdaCm0c//247/tT6Ue08vDuWkQpxOmpRgnRrl27+OCDDygsLPQds1gs/OMf/yAxMZHOnTvz3//+N2RBCiFEc5C2Jg1boY2YdlFVbvKqADqbjbQ1+3zH+sV1DHqj141ZB2VfMyFOUY0SopdeeonHHnuMqKgo37EnnniCt99+m6KiIg4dOsRdd93Ft99+G7JAhRCiqUsZkoIx2kjBoQJUrQ4VhcrSFkVRSRmc4vteq9XSLTa4fkRZ9hIyi/NrH7AQp5EaJUSbN29m0KBBvr3KHA4H8+bN48ILLyQrK4sDBw7Qpk0bZs+eHdJghRCiKfPteo+Cza1F1VS+WYBB4yIuOdzv2CXmM4J+rv/u3lTjOIU4HdUoITp+/Djt27f3ff/zzz9TVFTEXXfdRVhYGAkJCYwdO5bffvstZIEKIURzYO5lpvvlXXHoTTiUyleaaV0uv6X3cGr9iFYc2YPbXXnhthDCX40SIq1Wi812cl+dH374AUVRGDRokO9Yq1atyMnJqX2EQgjRzJgvbIf+tmuw68ICnvd+MJddeg+efkSRWkNQz1HgtLHrRGZtQxXitFGjhKhDhw6sXbvW9/3nn39Ox44d/TaAPXLkCK1atap9hEII0QzF9TuD8OiKzRb9PpRLLX4JkUajoW+Q23gAvCvTZkIErUYJ0Y033shvv/1Gnz59uOSSS9i+fTvXXnut3zXbtm2jc+fOIQlSCCGaG0WrQR8T4bf0vsIHstHg2+TVa1yHc4J+jm+P7ZMmjUIEqUYJ0b333stVV13Fli1b+PHHH7n00kt54oknfOe3bNnCrl27GDx4cMgCFUKI5sS7yasGfF8VlPiPEAH0jw9++b0bmPXb2mqvE0JA5UscqmA0Gvn0008pLCxEURS/5fcAHTt25Ndff6VDhw6hiFEIIZodRasBgxE0Gqis+NlqqzBCpNVq6R+XwrfH9wV+TDnz07by0DmD0GorL+AWQtSyU3V0dHSFZAigdevWnHPOOcTExNTm9kII0WypLje4XaDzfAy7y3z5FBXhzsqt8NjHzvl70M/jBv4lo0RCVKtGCdGRI0f4/vvvKS0t9R1zu91Mnz6dfv36MXToUFasWBGyIIUQorlRtBqUdgkQZqT8+JDve4cL5/c/V3hsQlQsrfXhFY5X5v20rVJLJEQ1apQQPf3001x++eXo9SdXSLz00ks8/vjjbNq0iW+//ZYxY8awdevWkAUqhBDNjeaM9jgryVO8SZF76+8V6ogUReH+Hv1P6bn6fvmvGkQoxOmjRgnRpk2bGDJkiC8hcrvdvP7663Tt2pVDhw6xefNmwsPDmTlzZkiDFUKI5kLRasht1QmrQ1Pp9h1ugFJrhYQIYFzHc06pCLQIN70+fwWn01mDaIVo/mqUEGVmZvoVTG/bto2cnBzuu+8+kpKS6N27N5dffjk//1xxqFcIIQSene+XH8ClqbzYWQUcTioUVoOnuPqGlPNP6TmtwNmLZzL5+/9JYiREOTVKiFwul19LeG+n6rLL7BMTEzl27FjtIxRCiGYmc1smqYtSUVAxVDHMowC27EKO/XIk4Pl/njPYr49RsFZl7efsxTN581cpthbCq0YJUfv27dm8ebPv+8WLF2M2m+nSpYvv2LFjx4iNja11gEII0dykrUnDVmgjJrkFLq2n9KDSXe+dTtLWHgx4TqvVcveZF9c4jtf3/0z3z1/hmZ++xmq11vg+QjQHNUqIrrjiCjZs2MBVV13FjTfeyI8//sj48eP9rtm5cycpKSkhCVIIIZqTlCEpGKONFKTnoVHdqErlH8V61U6n81tWev4fZ/0NYy3j+TxjJ72+nsOAL+dIYiROWzVqzDhlyhRWrVrFokWLAOjZsydTp071nf/jjz/YsmULjz/+eEiCFEKI5sTcywxA6uc7KVIiaKErQesInIhocdPSdhzoEfC8RqPh//pdza0bPqt1XNkuK72+ngNAuEbHxa2Tmd57JOHhwS/xF6KpqlFCFB0dzU8//cTOnTsB6Natm18XVJPJxJdffknv3r1DE6UQQjQz5l5mcLs58fYeokpyqay0Wgu4tu1CHT4wYHE1wMXmFK5u15PPDu8IWXylbiffZu2n9zevAdC/VTKzLxxDREREyJ5DiMakRgmR11lnnRXweIcOHWTbDiGEqIa5dyLYRuCc/R+MARZ9+dKfnBPV3mvqRSM5VJLHTycyQhqj14+56Vyw/HVAkiPRPNUqIRJCCFE7cRe0p8SkQbH5H/cbCyopRXW5Kx0h8po3+Abu+/F/fHtsf8jjLKtscgQQqdUzoG0Kz/cajslkqtPnFqKu1DghKioq4j//+Q9r1qzh6NGj2Gy2CtcoisL+/XX7D1MIIZo6XWQY7vyT31dIe6ooui7v9f5XsfTADh77ZVkoQgtKscvBssw9LFu2p8K5GJ2BofFn8sS5QwgLC6u3mIQ4VTVKiLKzs+nbty/79+8nOjqawsJCYmJisNvtWCwWABISEvy29hBCCFGRotWATodGUUCtZPF9gF3vqzKmY09Gtu/OxLUL2Zp/NESR1kyB087nGTv5PGNnhXNGNJwVG88L511Kcsu2KEpNuioJERo1WnY/depU9u/fzwcffEBeXh4ADz74ICUlJfz8889ceOGFdOjQgV27doU0WCGEaG5UlxvsNqgq4SkMvOt9VbRaLR8MuYlfRz9Ie2N0LaOsGzbc/JJ/lBFr36PHoul0//wVzv18OletnMcvRw/4NQAWoq7VaITom2++4e9//zs33HBDhXMXXHABy5cv9y3FnzFjRq2DFEKI5kxpl4haaoP8wsAXuFWc635Ce+3oU7630Whkxei7sdlsDPzmDQpc9lpGW7fsqOwqyuLGjZ9WeZ1MxYlQq1FClJmZyVVXXeX7XqvV+qbKAFq0aMFll13G//73v5AnRE6nk6lTp7Jw4UKOHTuG2Wzmlltu4amnnkKj8fyGpaoqzz33HO+88w55eXlcdNFFvPHGG/ToEbiPhxBCNBSNQYf+H9djf2YW5BdSdkyk7JiR++ftqFePPKWps7KMRiObxj1ESUkJV387nwP2SpKvJqKqqbhg6YHkiJbc360/g9p18WsfI04/NUqIYmJicDgcvu9btGhBRob/Us/o6GiOHz9eu+gCmD59Om+99Rbz58+nR48ebN26lYkTJxITE8MDDzwAwIwZM5g1axbvv/8+Z555Ji+++CJDhw5lz549REVFhTwmIYSoDSUqCkotlJ8gclMmKSooCGqlWXUiIiJYNuZuXC4XM7atZkH69lrdrylzAPtKTnD/1qWwteJ5SZhOLzVKiFJSUjh48KDv+/POO4/Vq1dz4sQJWrZsicVi4auvvqJ9+/ahitNn06ZNjB07lpEjRwKenkcff/wxW7d6/jarqsqcOXN48sknfduJzJ8/n7i4OD766CPuvPPOkMckhBC15bS5AhZ1+pIiZ2jrabRaLY9fMJxHeg1lzcFUZv72HUfcluofeBqpLmEKRKbymq4aJUTDhg1j9uzZlJaWEh4ezp133smVV17JOeecQ58+fdi2bRsHDx7kpZdeCnW89O/fn7feeos///yTM888k99++40ff/yROXPmAHDgwAGOHTvGsGHDfI8xGo0MGDCAjRs3VpoQzZo1i1mzZgU8l5mZGfLXIYQQXse3Z2IsdWDEs8lr+bVWbkBjq5vaH61Wy6WdenJpp56A55fKg7nHeXjTElJteXXynM1ZVVN5OkCv6DBqdQyJP0OSpkamRgnRXXfdRffu3X0J0fjx43n11Vd58cUXWbRoESaTiYceeoiHH3441PHy6KOPUlBQQNeuXdFqtbhcLl566SWuvfZaAI4dOwZAXFyc3+Pi4uJIT0+v9L6FhYUcOXIk5PEKIURVMrdlkvplKj11RvRuO4oaeCTIZbWh5uaBuU2dxqMoCh1bx/P5aM8vj8XFxUxa/zE7Lae2yk1U5AScqhOL01lp0iRNLhtOjRIis9nMhAkT/I7985//ZPLkyeTk5NC2bd31k/j000/58MMP+eijj+jRowfbt29n8uTJJCQkcPPNN/uuK//8qqpWGVN0dDSJiYkBz2VmZsryTyFEyGVuyyR1USqKRoujVRuMWVa0zopNbgFQVQo+WU3LB6+r1xgjIyP5bOTtAJSUlHDXD5/xS3Ho60OFR1VNLmtKC7Q1RnJDSi9uOPMC6RFYCUVVK+sE1ji1a9eOxx57jHvuucd37MUXX+TDDz9k9+7dpKWl0alTJ7Zt28Z5553nu2bs2LHExsYyf/78U37OpKQkjhw5QmJiYoXicSGEqKkNMzZQcLiAuLPa0CJtBy33/oLeUUlCBBRHtKTtwldqXVgdKm63m1+OHmDq1hUccBY1dDgiBDSAOSyKOzv34fJO56DTNe0dvk7l53eTe6WlpaW+5fVeWq3WN4LTsWNH4uPjWb16tS8hstvtrF+/nunTp9d7vEIIUZmUISmkLkql4HARSrszabH/1yqvD9c6Q7LSLFQ0Gg0XJHViWdI9Fc65XC4p1m6C3MARaxHP7FjNMztWB/245pBIBR1x9+7dT/nmiqKEvFv16NGjeemll2jfvj09evTg119/ZdasWUyaNMn3nJMnT2batGl07tyZzp07M23aNMLDw7nuuvodahZCiKqYe5kBSF2USv7R0mr3LNMZm84PmfLF2uXJ9FvzUl0iFa7RcXHrZKb3Hkl4eHj9BxiEoP917d69G0VRaOgZttdff52nn36au+++m6ysLBISErjzzjt55plnfNc88sgjWCwW7r77bl9jxlWrVkkPIiFEo+NLiv73O063Bm91R/mKx8YxJhQ6ERERLBg+0e+YxWLh0U1L+O7EwQo9mUTTVup28m3Wfnp/81rA8zogwRTD7Z0vYmzK2Q0ywhR0DZFGo0Gv1zNixAgmTpzIqFGjKkxdNVdSQySEqGuZW4+gTJ9NhLUQBbdfQuT7pI0wEbbw341myqwhyFRc86dHYco5g7mx8wW1vled1BD9/vvvvPvuu3z00UcsXbqUtm3bctNNNzFp0iS6dOlS66CFEOJ0Fnd2HMWtI3EfKUFbZum9X+pTYsG1Jw1d9zPqPb7GorqpuGBZrVae3byMb7L24gpRbCI0HKi88tu3ACFJioJ1yqvMHA4HS5YsYd68eaxevRq3281FF13EpEmTuOaaa4iMjKyrWBuMjBAJIeqa6nLj+HIl1iXfosnPR6GSabK/9cb0yF31HN3px5swLc/ai7OhgzlNJZmi+ebSO2o1fXYqP79rtez+6NGjvPfee8yfP599+/YRHh7OlVdeyYsvvkhSUlJNb9voSEIkhKgPrqJi7PdOhRP5lV/UpiXGt6ahMTSdAuvTgXcq79Xt33JUtTZ0OM2CBnjlgtGMSq75xuz1tuw+ISGBJ598kieffJJVq1Zx6623smDBAsaPH9+sEiIhhKgPijEMtHXT1FbUraqm8kpLS3li+woOF+bhstsptFs4Rt1sxdKcuIHjlvrrb1XrXzF+/fVX5s2bx8cff8yJEyeIj4+vtOOzEEKIahiNDR2BCLHw8HDm9B1f5TXS5LIiDRBnqr/V4TVKiE6cOMHChQuZN28ev//+OzqdjhEjRjBp0iRGjBiBVqsNdZxCCNHsKVoN6HSgKFBZNUNx6Wm9yqy5qqrJZW3Y7XZe276Wjw/9SlNbk5dgimZ4Yv0t2go6IVJVlZUrVzJv3jy++uorbDYbPXr04NVXX+XGG2+kTZu63XBQCCGaO9XlBrsNNAq4VL9ePL4UyGI97VeaieAZDAamXHgpUy68tNprbTYbr/yyisVHd1H5BjL1QwFuPPOCeu1HFPQztW/fnqNHjxITE8Mtt9zCpEmTuOCC+lsOJ4QQpwOlXSJqfhHuUv/CXDcnkyLH0jWSEImQMxqNPNt3NM8y+pQeF+pEKpR9iE7FKTdm7Nu3LyaTKbibKwrLli2rVYCNgawyE0LUF2d2Lpb7XkBTUhzwvAZkpZloMlRV5WDucR7etIRUW16l19VVp+o6W2XmcDhYv3590NcriqyWEEKIU5F9oBSj1UllpdVlR4qEaOwURaFj63g+H31nQ4dSraATogMHDtRlHEIIcdrL3JZJ6pepnK3Vo7qsFfYz83LY3ZUmTEKImgk6IUpOTq7LOIQQ4rSWuS2T1EWpKBotilGPYgeVipu8ArgLCjn++3HMvaXFiRChIiOvQgjRCKStScNWaCOmXRRal5Oqijt1uMn8clO9xSbE6UASIiGEaARShqRgjDZScKgAa1RL3Bp9pVNmAB2dh+stNiFOB5IQCSFEI2DuZab7Fd1RFS17Y8/Brau8wa0ChGVn4rbLtqNChIqs2RRCiEbC3MsMQOr/fsftrHzSTAPgcld6Xghx6iQhEkKIRsTcywxOJ6QuDXjeN6zvloRIiFCSKTMhhGhk4s41o48KA/Arrvb7wLbJbulChJIkREII0QjpWkRCmY2yK3xY2+2ouZV3/hVCnBpJiIQQopFRtBqU5CQ0EWFoqeSD2uXG+f3P9RyZEM2XJERCCNEIac5oT3Uf0e5N21CluFqIkJCESAghGhlFq0H7936gVLP3ds4JSYiECBFJiIQQohFSjGHgdFV9UYmlfoIR4jQgCZEQQjRCZUd+3GW+/DhduLNy6zEqIZovSYiEEKIRUrQaiG+DW+P/MV0+KXL9sLn+ghKiGZOESAghGiFFq6G0Qxfs7opbeJRNitwbtkgdkRAhIAmREEI0Qsd+O87vR6NQKtnh1ZcCnciXhEiIEJCESAghGpnMbZmkLkpF1WpAV/nHtBvA7pSESIgQkIRICCEaEW8ypCgKMR1a4dYaAP8tPMpyOZwohUX1F6AQzZQkREII0YikrUnDVmgjpn0MuJ1oUFGBSmbOwO3G8dP2+gtQiGZKEiIhhGhEUoakYIw2UnCoADQ68tp1xWEMr/R6BXD/nirTZkLUkiREQgjRiJh7mel+RXdUVaXgcBF5nc5G1ekrvV4DcCyr3uITormShEgIIRqZsklR/pFitLbAHal9H+BZuTJCJEQtSUIkhBCNkC8pcrtRA2zh4ffhbbVLQiRELUlCJIQQjZS5l5nu43vg0hn9VpkF+uB2/7qzvsISolmShEgIIRqxuHPNaDsl4/5rnVllH9rOL1bUX1BCNEOSEAkhRCOmMeiIePgm9GGGqj+w04/gstjrKywhmh1JiIQQopHTtmgBxspXmgHgdHg2hBVC1Ij86xFCiKbAreIG31cFTjfufQfrNSQhmhNJiIQQopFTXW6cGp1fYXWgpMixZHV9hSREsyMJkRBCNHJZu7LJ0CdVSIIqJEW/p+K2O+spKiGaF0mIhBCiEcvclknql7s53rYrKtoK5/2SouLADRyFENWThEgIIRqpzG2Zvp3vozrEog1cPeR31Ln5t/oJTohmRhIiIYRohMomQzHtY0B14zSa/OqIyvImRa4vpR+REDXRJBOiDh06oChKha977rkHgFtuuaXCuT59+jRw1EIIEby0NWnYCm2eZAhAF0b6+cN9DRordTBD+hEJUQO6hg6gJrZs2YLLdXJvn507dzJ06FCuuuoq37Hhw4fz3nvv+b43GAz1GqMQQtRGypAUUhelUnCowJcUOVu0QlV0oDoqf6Bd+hEJURNNMiFq06aN3/evvPIKnTp1YsCAAb5jRqOR+Pj4+g5NCCFCwtzLDOCfFKluNIqbQPNmZVMg5+bfMPQ/v34CFaKZaPK/Rtjtdj788EMmTZqEopwcSl63bh1t27blzDPP5PbbbycrK6vK+8yaNYukpKSAX5mZmXX9MoQQogLfjveqSsGhAgDs4TEV8qHyH+SuBYvqJT4hmpMmOUJU1uLFi8nPz+eWW27xHbvsssu46qqrSE5O5sCBAzz99NMMHjyYX375BaPRGPA+hYWFHDlypJ6iFkKI4PiNFB2xcLjXYFK+/9y3AD/gb7VHs3BZ7GhNUiogRLCafEI0d+5cLrvsMhISEnzHJkyY4PvzWWedRe/evUlOTmbZsmWMHz8+4H2io6NJTEwMeC4zMxO3O/ByVyGEqGtlk6KjBxx0+ut4VUP87n0H0fY8s85jE6K5aNJTZunp6axZs4bbbrutyuvMZjPJycns3bu30mseeughMjIyAn6ZzeZQhy6EEKfEO30WkxSOYgyr9sPbOf/zeolLiOaiSY8Qvffee7Rt25aRI0dWeV1ubi6HDx+WxEYI0aSZe5mJPycO64J8WLS86ov3pOG2O9EYmvTHvBD1psmOELndbt577z1uvvlmdLqT/+CLi4uZMmUKmzZt4uDBg6xbt47Ro0fTunVrxo0b14ARCyFE7SlaDfpxQ0FTTT8iwLUnrR4iEqJ5aLIJ0Zo1azh06BCTJk3yO67VatmxYwdjx47lzDPP5Oabb+bMM89k06ZNREVFNVC0QggROtm7cnG4lUo28jjJ+dLr9RKPEM1Bkx1LHTZsGKpasRmHyWRi5cqVDRCREELUvcxtmaR+9Sed9a1o6cjGTRW/2ZZYZNpMiCA12REiIYQ43fj2N9Pqye0/2He8qpEi2zOz6j4wIZoBSYiEEKIJKL/ZqzssHLdO7ztfaVK0608so2/Dcu8zqLl59RKrEE2RJERCCNHIlU+GANAayG3X3a9rdZU1RelHsd7yMJYJ9+JYuroOoxWiaZKESAghGrGAyRCAoiGvU48K11fbQrbUivO/n2L/eElI4xSiqZOESAghGrG0NWnYCm3+ydBfVIMJW1hUoL1eq+X66CsssgpNCB9JiIQQohFLGZKCMdro29zVj9bA4V5/p/qORJX46Tcsz0rRtRDQhJfdCyHE6cBvc9dDBRVGilwt2lCgjyXGkQ/U4LfcbalYRt8GWg26SVehHzPUM3L002/+1/Xqjum5h2r2IoRoAhQ1UDMf4ScpKYkjR46QmJhIRkZGQ4cjhDgNVVZLVHCoAG1JIefv+xptQwV3Vme0Z3fF9fFXoIJyaX/C7r2loaIRwudUfn7LCJEQQjQBgUaKCg4VoKoqZ044D+38rZBxrGGC27kX186Tm2erK3/E2f1MHOt/gm2pnoM6LXRqD3sOnHxccgJhzz2I0qpFPQcsREVSQySEEE2Ed8d7VVU5vuM4qqrS/YrumPskw93XNXR4fhyz551MhgCcLv9kCDytAGbNrd/AhKiEjBAJIUQT4h0pSluTRsqQFN/3pp7dsdxzI3y7AfYeAFcTqYb4fbenhsnLZIRwE/qbxqMb3Lfh4hKnHakhCoLUEAkhGqvMbZkVkiMAy2ffwIIvGjCyeqTVoBk9GOOt1zR0JKKRkRoiIYQ4DXgLrW2FNlIXeaanfCNGV4/A1iER94Yt8N1PDRlm3XO5cS9eg2XxGogMx/DP23D8tA115Y+e8xoF3H/97q/Topt4JfoxQxsuXtEoyQhREGSESAjR2JRfdeYtsO5+RXe/kSIAe+peXP95Hw4fb5hgG6te3TGMHoJ9+ttgtVV+XZ9zMD15X/3FJULmVH5+S0IUBEmIhBCNSVVL8CtLilSLFeuHS0D2MatbNVg551i6Gufny9FdeZnfyJX94yW4Fq9Ge/lQDNeOrYtomz1JiEJMEiIhRGNR6d5mf6kqKQKwLF0Dy9dChowWNUnJCWj7nY/rk69OblzX3gyHMgHpAVWeJEQhJgmREKIxqC4Z8qouKQKw//YHrm/WwZ79cCKfGm2IJhqvciNV1v+8f7KmKhCjAf3dNzS7lX2SEIWYJERCiMZgw4wNFBwuIK5nXLXXHt9xnJh2MfR7pF9IntudV4Bt/c9wLBv2p8OR41Ba2nSW94ua+atIXdv77IaOpEZklZkQQjRDKUNSKt3TrKyCQwUYo42kDEkJ2XNrWsRgunxYwHOWdZvgX9JgsVkqLsX+3GuBz5XZ38429xPc36xDM2Jgpe0PLM/O8jTrbKQr/WSEKAgyQiSEaCxqW0NUVxy79+PcvB3yCwNfEB0NKUnw6n/rLSbRhNTRNi4yQiSEEM1UoD3NvBoqGQLQd+2EvmunKq+x5uZLqZIILP0o1tseR3/fTQ1WxyQJkRBCNDFVbfTaEMlQsMJaxWJ99E44nFn5RR2SCLu4F5bvNkL6EXA6IfsEWKye8/mFUFgKNhuUlNZP4KJ+OJ04Fq2QhEgIIUTwyiZFx3ccx1HqwBBpaOCoqhfW/4KgrjMF+UPR+uMW1FXfw4EMKLV4DtqdNQ1PNLTDR3Gu+RHdkP71/tSSEAkhRBPlTYq2z98OgOpWK2zh0dyF9b8AgkyyLEvXwNpNkHUCnA4oW0LrcoFOD3GtwBTmGZXKywOnTPLVKxUcX66ShEgIIcSpM0QaMEYZfVNnp1tSFCzTmCEwZsgpP87645ZKp/nUP9M8LQjyC8FSxfYfIngNNEokCZEQQjRRgVacSVIUesFO8zkPHIYTeZVf0LoVuuTEU3puy4r18O2Gk6NaTieUNvPEq4FGiSQhEkKIJqiq5feSFDUMXcd20LFdSO9pGj4Ahg+o9jpf4pRxDIqrKDYPM0CblhDXGoqtcOw45BeFMOIQaYBRIkmIhBCiiQlmCw9Jik4vwSZO1fEVqe89CMWW2gdWUyo4vlojCZEQQojKpa1Jw1ZoC7iFR8GhArL/yKZNtzbEtI/h+I7jpK1Jk4RIBKVskbrzwGEc23edHEH6Yz9kZEJRSf0Ek1+Es8SKLiKsXp5OEiIhhGhiKtvC4//bu/f4qMo7f+Cfc86cuU8mCeQ2SYUA4VYQwRRFRC7SWquArS+r9iKo2xXBC3Vd3MVdLn0pCOtiZevipXKrbdntQv3Z0iJQE7BWoBBRrjGYACYkhITcJpn7+f7+OJyHmcwEA+RCyPf9evEiOeeZc848iczH5/me5zScakBlUSVCvhAqiyrhrfTCkeno0Ed4sN7DlPs1fRqwE/i27gQ+PaqvJ5VIVgbUb03osjAEcCBijLEep62FGSuL9DuhkrKTUFdWB3+DH7lTcnl0iF11OmqKryPJ3X0BjDHGLl3WmCwMv3c4iAgVeypEGLKl2uA754PVbUXa0DRUH6kW+xhjbeNAxBhjPVTWmCykD0/H2WNn4W/wizBk7Mu+KRuSJOHIpiMcihj7ChyIGGOsh6osqkT1kWqkDU2D1W1FY4X+pHljiuz4+8cBgEMRY+3AgYgxxnoo426z7JuykTUmC7ZUmwhDlUWV8J3ziRAUaAygdEdpd14uY1c1DkSMMdZDDZg6AJYkiyisHnTHIACIKa4GgOI/FKN8d7n4njEWj+8yY4yxHqr13WYAYoqrAcDf4Iev1gezy4xD/3sI5XvLccPMG/jOM8Za4UDEGGM9mBFs9r62FzXHamB1W0UYqiurg7fKC3c/fa2iyv2VqP28FvUn6pHcP5mDEWNROBAxxtg1yAhDzkwnrG4rGk41QLEoCDQFUP5xeVwwAvSapAFTB3BIYr0SByLGGOvhSneUQrWryJ2ci8qiSv02/Dp/TBgCANWmwl/vB4C4YGTva4dqV7H3tb0wO83IGZuDxopGJGUnobGiUax2nSg0VRZViu2t2xj72nMcxrqTRETU3RdxtcvJyUFFRQWys7NRXl7e3ZfDGGMxoh/26q304tRHp2DrY4sJQwDgPeMFAFiSLAg0BqCFNSiqAgBwZjmRnZ8twpSsynBmOBFsDsKd44bqVAEAql2FJcmC4fcOBwAcWH8AQW8Qql1FqCUU0yZ9eDqqj1Tj3PFzaCxvvOhxOCCxznApn98ciNqBAxFj7GpnhKLy3eUgjaDa1DbDUNgXBgCE/WGEA2EoZgWKqkAxK7D1sSHoDSLQFIDJbIK9jx2qU0XIG4Lq1EehvJVeVH5WCYvdgmBzEIpFQdrQNJw9dhYARJuzx87C0deBSCgCf4M+MhV9HABoqtQfHGoEKrPTHDOFFz2yFD3ixCNNrD04EHUwDkSMsZ6gsqhSFFf7an0AAbIqJwxDkVAEYX8YJqsJFCGEA2FIsgTZJEN1qIgEItDCGlSHCgkSFIsCV6YLBELQG0RTRRPCgTBSB6RCdaox9Ur+Bj9C3hCaq5shKRLc/dywuq2oKa4BALgyXbC4LXBluUSIMgJVJBCBK9sFe187gt5gzMhSqCUE1a7GjUZFB6m2glF0kOLw1Htc84Gof//+OHnyZNz2OXPm4LXXXgMRYcmSJXjzzTdRV1eHm266Ca+99hq+/vWvX9b5OBAxxnoKIxSd3ncaQW9QrxkiwJpiTRiGAH2kSDbJiAQjII0gm2SxL9QcgmJRYE+162GoKYiQLwTZdGEZO7PDDMWiQLWpsLgtaDjZAH+DH7IsAzKgOlSYLCaoNlW8RlZktNS2QDbJsLqtCHgDcGY6AQANJxtgspngSHeI9i3VLQh6g7Cn28XUHhAfpJL7J4v6J2MUqfW0XnSNVPRIkzEa1XpUqq1+vpLaKA5oXeOaD0Rnz55FJBIR3x86dAjf/OY3UVBQgEmTJmH58uV48cUXsW7dOgwePBgvvPACdu3aheLiYrhcrks+HwcixlhPYoSi8o/L0VLTAsWsIBKKQIIESZEQ9AYhm2RIiiTCkBbWQBGCpEh6KFJkSLKESCgCWZGhWBSE/WFoIQ2APvJkspoQatZHalxZ+uiR75wv5liySUYkEIFiUZCUnQSzw4zmmmbRTpIlSLIkQhUAhANhhJpDUB0qkvslo/5kPULNIZgdZhAIEiSxlIAxMgXoQUpWZViSLEgbmgbVqaKlpgVNFU0x03pGjZTRBoAYjTI7zDF1U4mm8Mr3liPoDcaNYAFIGLpah6ZEAa2904TRK5EnKl7ngBXrmg9Erc2bNw9//OMfUVJSAgDweDyYN28ennvuOQBAIBBARkYGli9fjscee+ySj8+BiDHW01QWVeLA+gOoP1GP+hP1aKltQahZH9kxiqpDLSGYLCZoYQ1aRIOsyNAieqE1aSS+llUZQW8QpBFI04OOyay/TjbJ4rWyKiPUEhKjTLKiBy1IgAQJZpcZ9r52eM94EfQGIcmSuF7VrkILapBMEkwWEyIhfcrOOIcxIqWF9UBmjDpFM4KUoipwZjkRbgkj5AvFhCez04ygN4hwIAx7HzskSCCQ2B70BmFxWkTdlKzKMVN4NcdqoAU1yGYZZqdZnNuojWoduloXpicKaO2dJjQK1Y1AZgSqRG0SjXAlqr9qz2hYT9arAlEwGITH48EzzzyDBQsWoLS0FAMHDkRRURFGjx4t2s2YMQPJyclYv379JZ+DAxFjrKdKNFrUeiQGgBgl0sJa3FSaFtYQCUYgyzIkkyRGf0xWE8J+fRpOMSkIB/SvifTgpJgV0YYiBNWhgjRCqCUESdLDkHGcULMepEy2C1NrvjqfuJ5E51IsCmypNnHHXHRoigQikBQJVrc15v1GAhFYkiz68c/59JEuswkEiglYxqiWxWlBS22Lfl12Fb5anxilUiwKnJlOeKvO12g5LQh4AyJctS5Mb6luiQto7Z0mHDJtCLyVXlTsq4AW1GBNtSJtaBoq9lWgpbolps3ZY2djRrhyxubEhSgAceGr9VRiRwek7hjFupTP7x6/DtG7776L+vp6zJo1CwBQVVUFAMjIyIhpl5GRkbDuyLBy5UqsXLky4b7KSn5CNGOsZ8oak4Wxc8fC7DSj/kQ9zpWcQ6AxID6U60/Wi1ESAKKgGgAc6Q54q7wgjWC2mxEJR6CYFEjWCyM7Jqs+UhQJR4DzmyVIkM0X6pCMv7WwJuqYAAAyYHFZEPQG9VEkRdKDl0nWQ9T5UCVJkhjd0iIaQr6QaNtc3Xyh/ilyYaRHC2tQoCDYHASaz5/ufGAKNAbEJYS8IYSVsJjaM0bPDI2NjZAkSdwlZ3FbRP8AQO3ntSJgNZ7W2wYaA3oIIyDYHASBoFVqiIQiMDvMIkABEF8TCC01emBqPU0Y9AZR/IdiAICv1gfFoiDkDaHk/RJIkGCym0QbY9SqobwBIW8IkVAEJX8qgWJSRIiqOVaDoDeYsO2JwhNIG5oGf4MfNUdrYqb8EtVYAYnrry42TXhk0xHxu3k16fGB6O2338add94Jj8cTs934vw8DEcVti9bY2IiKiopOuUbGGOtOWWOyRJ2JMY1mTNvk3ZGHin0V8NX64PK49HACiNESa4oVwQb9Q93qtiIcCIsAEGgMwJKkB5qwPwxJ0kdNjOms1iMy3kovQOcD0vma7EhIH4lRcH4Uxx+Gv94vpvbC/jCI9NGlsD+sjwTJsphuM0avjJGvQFNABCkACLWEICsXRo6iR6wkRQIRQQvq03ASJDRXN4sA52/wQ4IELaKBND0w+s/5oTpUsV8xKSJAGSNsEiRRtC6bZPhqfAD0hTHDgTCCzcGYqcvoacFQcwhnPjsjvieNEAlEUFddBwBiBKn+VD0oTFCsCqzJVoR8ITScahB1V94qL8KBMLSgHiAtbgsUs4KywrKY6UFjhCscCItg3FDegLA/jBOFJ0RNVeu/3Tlucddg0BvEsf93rM020dOExpIM7z/7PgZMGQDFrFw1Syj06EB08uRJ7NixA5s3bxbbMjMzAegjRVlZFzq1uro6btQoWlJSErKzsxPuq6yshKZpHXTVjDHWPVoHo6A3CJPdBE++R3xomZ1mODOd4gPT0ccBex87vJVeEAh9BvcRoxp9BvdBoCGAcEAfYaEIwewwI+P6DPgb/PBWeWHvYwdFSF9vSAYURYHZZYa7n1uMgthSbVBtqii0luULd7AZ4ST6a4qQCCikESRZEiNNpJEIUsZoE4UJJBFMJlPMSJMW0kThN2l0YeQpEIEkS3q9EgFaRG8nkQQtpL/OqKeKhCOggH4tknLhNTHHieghyWgrKZIIX62nKo3QZ7LqU4eRUERMJ0qyBN85PVwZU4ISJLGsghGozh45C9WhItQcQiQQgcmiv+/65nooqiKCLKCPcCkWRYx6WZOsqD9Zj4aTDVBtKryaF7Isx/xtcVrEqFJ0/ZW3Kr5N9DSh1W1FWUEZAMBf58e+1/chbXiaCFbdPXrUo2uIFi9ejDfeeANffvklTKbz/6EQwePx4Kc//Snmz58PQK8zSk9P56JqxhiL0rrI1ghJie64CvlDqD9Rr9fcGKNH59ccMu7uUlQFJptJBBxXlgtNlU3wVnvReKoRpBGsKVY40h36nW/BiDifalMR8oVEXY8E/Q4340G1gcYATBaTfrdbIIxAQwBaSBN3uyVi1BIZouuetJB+h5tiUWJqpBTLhYJyiugzC0bdlHGM6Lvwgs1BEZaMgnNjpMw4jjGaFfaHYwrSDSKgnd9mFKQDiDmHKFJv1cb4GDdZTaKoXcyISPoSB0Qk3rPJYoJkujDCZgQwRVXiitkVVREzLEQkfgaRQETUUhn1V8aIoNEm2BQU04TWZCssbosYjTLaA4DZboY9zS4W6yQiDL93eIeEol5RQ6RpGtauXYuZM2eKMAToU2Xz5s3D0qVLkZeXh7y8PCxduhR2ux0/+MEPuvGKGWPs6mKMGEV/b4SkodOHxtWC1BytQdHbRUjJTYEzy4mygjJEAhFk3Zgl1v8p/aAU9WX1yBqTBfd1bjScasCXH3+JpHFJ4k4oCRJ89T6kDUsDAJQVlKGxvBFaRIP7OndMTZNRM5PkSYpZq+hcyTloJn3hSALFTM1Fj4D4zvlAYYJkkkQNkTEdFV0vBegjT7J6PmT4CbIsg0AxdVNGWDAKtY078iDpSxHIiv6a6OO0HtkygkUkHIktWjfpd64Z04SSpIdCY/HM1oXjkqyHL0nSR6ECjQH9br/zNVgSJFHILkmSPtoV0hBRYke1SCM98KkQBdcAxGiV8fNQTArC0Kf8WjNG3gC9eN3f4AdF9PdJGsFf74f3jFeEKePn5Tvn05dYsKmoLKpE1pgsSJLULSNFPTYQ7dixA6dOncIjjzwSt2/+/Pnw+XyYM2eOWJhx27Ztl7UGEWOM9SatQ1LrfX2H9cWRTUfgb/Cj79C+cStEG/uj5dycI/6P33jEiDPLCfd1emF37uRcHN92HJFAJG5tIOM2d9WpwpPvEbep54zLAQBRJB5d/xQ9rZd8XTKaa5vFh3r0+kZGG5PFJAKY8cFu1EsZIyPRYSs6SNlSbaLgWrWpIKKYKShHukPUGNlSbXqR9fmA5kh1iBoio94IiC1Cl0gSgSx6xEu1qxcCSNT0oDHaZDyjzhi5CzQF9FEmsyxGqowpQNWhQlIkBJoCQNSckRHWjClALaLp04+RxBNL0dN+xogbESHsCyMSjsTUVgEQ9VqkEbxn9CURujMU9egps67CU2aMMXbBV90+bYQeY6Sm9fRH9MNojVEkIopZPweIXwgx0UKG0UXikVCkzbWBjNvTVacac2t76zqYltoWaEENZpc57jZ6AAmLkO197GLNI+NZcMa0kCH6Nn4joBnTfxIk2PrYxFpR0dOErQNZc7V+y5wj3aHX+JzxiuUIjIBknMuWatPDSOjCKJgRqowaLEmWLjyqJRI1jXd+TSpj2tCYAjSOTxLp04RRf7dem4oi+sgZCOJvY+ovetFPs9MM1abCZDPB6tan1ozflyudPutV6xB1BQ5EjDF2aa40NF3K8aKLxC+2erSxgGGiNtF1U94z3pi1fs4eOxtzmzoAcZt69IrXRmG6EcwSLfTYOqBFP4rECF3GNGHrQGYsJmlcL4C4QBVoCMBkM8Hisoi6rOgpRCNkhXz61JixjEBcTVPUHXMEEjVGgaZAmyNEidamCrbo12lM7bWurTJZTXBmOGF2mOGr98HsMMPitsCWasOgOwbhzMEzcH/NjfHzx7f5u3ExHIg6GAcixhjreB29UF97ni92sTbRa+hczkKGwMUL09sKaK3PYUwTRgcyY+Xr7PxsOLOcKP5DcVyg8tf59TBmN4sH7gKIWzyyrYUmWxdHG6NTikUBNIiRpujwFC36+XbGSJEkSSK8GYEJuPCMPONxLkZdEo8QXeU4EDHGWO9zuY+6aB262hPQ2jNNmDM2B9VHqsVjV1oHKqNN6QelOPPpmYRTiF/1KBIjzMmyDE3TYHaaQRGCr94XcwdZe+4yM6buZFlGc02zXmhOelhK9MDfjg5DAAeiDseBiDHGWFe73Ie6XmwKsT0PqzVGbBx9HYiEImisaIwJSdFTgK2fA5eojepU4ejrwOn9p0VRtbEukbEGkSvT1eFhCOBA1OE4EDHGGOtpEk0PXsqoVvWRapw7fi4mJCWaAmwdpNqaJmw41YCm001I8iQhEoqIu/OM0MTrEDHGGGOsw11sCYX2tG1rTapEU4DtaTP6Yf2B60c2HcG54+fgb/DHhCZ/g79dBfadhQMRY4wxxuK0N1BdTpvoEMXPMmOMMcZYr9NW0OquIGSQv7oJY4wxxti1jQMRY4wxxno9DkSMMcYY6/U4EDHGGGOs1+NAxBhjjLFejwMRY4wxxno9DkSMMcYY6/U4EDHGGGOs1+NnmbWD2WxGKBSCLMvIyurehaMYY4wx1j6VlZXQNA2qqiIYDF60LQeidlAUBZqmdfdlMMYYY+wyyLKMSCRy0Tb86I52sFqt8Pv9UBQF6enpHXpsI73y6FPn4n7uGtzPXYP7uetwX3eNzurn6upqRCIRWK3Wr2zLgagdmpubO+3YOTk5qKioQFZWFsrLyzvtPL0d93PX4H7uGtzPXYf7umtcDf3MRdWMMcYY6/U4EDHGGGOs1+NAxBhjjLFejwMRY4wxxno9DkSMMcYY6/X4LrNu9swzz6CxsRFJSUndfSnXNO7nrsH93DW4n7sO93XXuBr6mRdmZIwxxlivx1NmjDHGGOv1OBAxxhhjrNfjQMQYY4yxXo8DEWOMMcZ6PQ5EjDHGGOv1OBB1gl27dmHatGnweDyQJAnvvvtuzH4iwuLFi+HxeGCz2TBp0iQcPnw4pk0gEMCTTz6Jvn37wuFwYPr06fxgwVaWLVuGb3zjG3C5XEhPT8c999yD4uLimDbc11du9erVuP7665GUlISkpCSMGzcOf/7zn8V+7uPOsWzZMkiShHnz5olt3NdXbvHixZAkKeZPZmam2M993LEqKirwox/9CH369IHdbscNN9yA/fv3i/1XVX8T63B/+tOf6Pnnn6dNmzYRAPr9738fs/+ll14il8tFmzZtooMHD9L9999PWVlZ1NjYKNrMnj2bsrOzafv27VRUVESTJ0+mUaNGUTgc7uJ3c/W64447aO3atXTo0CE6cOAA3XXXXXTdddeR1+sVbbivr9x7771HW7ZsoeLiYiouLqYFCxaQqqp06NAhIuI+7gx79+6l/v370/XXX09PP/202M59feUWLVpEX//616myslL8qa6uFvu5jzvOuXPnqF+/fjRr1izas2cPlZWV0Y4dO+j48eOizdXU3xyIOlnrQKRpGmVmZtJLL70ktvn9fnK73fT6668TEVF9fT2pqkobN24UbSoqKkiWZdq6dWuXXXtPU11dTQBo586dRMR93ZlSUlLol7/8JfdxJ2hqaqK8vDzavn07TZw4UQQi7uuOsWjRIho1alTCfdzHHeu5556jW2+9tc39V1t/85RZFysrK0NVVRW+9a1viW0WiwUTJ07E3/72NwDA/v37EQqFYtp4PB6MGDFCtGHxGhoaAACpqakAuK87QyQSwcaNG9Hc3Ixx48ZxH3eCuXPn4q677sLUqVNjtnNfd5ySkhJ4PB7k5ubigQceQGlpKQDu44723nvvIT8/H/fddx/S09MxevRovPXWW2L/1dbfHIi6WFVVFQAgIyMjZntGRobYV1VVBbPZjJSUlDbbsFhEhGeeeQa33norRowYAYD7uiMdPHgQTqcTFosFs2fPxu9//3sMHz6c+7iDbdy4EUVFRVi2bFncPu7rjnHTTTdhw4YNeP/99/HWW2+hqqoKt9xyC2pra7mPO1hpaSlWr16NvLw8vP/++5g9ezaeeuopbNiwAcDV9zvNzzLrJpIkxXxPRHHbWmtPm97qiSeewGeffYa//vWvcfu4r6/ckCFDcODAAdTX12PTpk2YOXMmdu7cKfZzH1+5L7/8Ek8//TS2bdsGq9XaZjvu6ytz5513iq9HjhyJcePGYeDAgVi/fj1uvvlmANzHHUXTNOTn52Pp0qUAgNGjR+Pw4cNYvXo1HnroIdHuaulvHiHqYsbdDK2TbXV1tUjJmZmZCAaDqKura7MNu+DJJ5/Ee++9h4KCAuTk5Ijt3Ncdx2w2Y9CgQcjPz8eyZcswatQovPrqq9zHHWj//v2orq7GjTfeCJPJBJPJhJ07d2LVqlUwmUyir7ivO5bD4cDIkSNRUlLCv88dLCsrC8OHD4/ZNmzYMJw6dQrA1fdvNAeiLpabm4vMzExs375dbAsGg9i5cyduueUWAMCNN94IVVVj2lRWVuLQoUOiDdP/D+GJJ57A5s2b8cEHHyA3NzdmP/d15yEiBAIB7uMOdPvtt+PgwYM4cOCA+JOfn48f/vCHOHDgAAYMGMB93QkCgQCOHj2KrKws/n3uYOPHj49bCuXzzz9Hv379AFyF/0Z3aIk2IyL9LpFPPvmEPvnkEwJAK1eupE8++YROnjxJRPpthm63mzZv3kwHDx6kBx98MOFthjk5ObRjxw4qKiqiKVOm8G2drTz++OPkdrupsLAw5hbalpYW0Yb7+sr967/+K+3atYvKysros88+owULFpAsy7Rt2zYi4j7uTNF3mRFxX3eEf/qnf6LCwkIqLS2l3bt30913300ul4tOnDhBRNzHHWnv3r1kMpnoxRdfpJKSEvr1r39Ndrud3nnnHdHmaupvDkSdoKCggADE/Zk5cyYR6bcaLlq0iDIzM8lisdBtt91GBw8ejDmGz+ejJ554glJTU8lms9Hdd99Np06d6oZ3c/VK1McAaO3ataIN9/WVe+SRR6hfv35kNpspLS2Nbr/9dhGGiLiPO1PrQMR9feWMdW5UVSWPx0Pf+9736PDhw2I/93HH+sMf/kAjRowgi8VCQ4cOpTfffDNm/9XU3xIRUceOOTHGGGOM9SxcQ8QYY4yxXo8DEWOMMcZ6PQ5EjDHGGOv1OBAxxhhjrNfjQMQYY4yxXo8DEWOMMcZ6PQ5EjDHGGOv1OBAxxtg1oLy8HHa7HStWrOiycy5atAgulwtnzpzpsnMy1lk4EDHWA0mSdEl/2FcrLCyEJElYvHhxd1/KZVmwYAGcTifmzp0bs52IsGLFCvTr1w/p6emYO3cuvF5vm8fZv38/Hn30UeTl5cHhcMBms2HgwIH48Y9/HPM8KQD46U9/CkVRsHDhwk55T4x1JVN3XwBj7NItWrQobtuSJUvgdrsxb968rr8g1q0+//xzvPPOO1i4cCEcDkfMvtWrV2PBggV44IEHkJqaig0bNqC+vh6//vWvY9ppmoZnn30Wr7zyCkwmE6ZMmYLp06dDVVWUlpZiy5YteOedd/Czn/0M//7v/w4ASE5Oxj/8wz/g5z//ORYsWCAe2slYj9ThDwNhjHULANSvX7/uvowey3gG4aJFi7r7Ui7ZM888QwCopKQkbt/NN99Mzz33nPh+y5YtpChKzEOQifSH+AKgG264gY4fPx53nJaWFlqxYkXMsYhIPMT6+eef76B3w1j34Ckzxq5xRIQ1a9Zg/PjxSEpKgt1uR35+PtasWRPXdvHixZAkCYWFhVi7di1GjhwJm82G3NxcrFq1Shzv1VdfxdChQ2G1WjF48GD86le/ijvWrFmzIEkSvvjiCyxbtgyDBg2C1WpFXl4e/uM//gOapiW83l27dmHatGno27cvLBYL8vLy8G//9m9oaWmJaRc9xfXxxx/jjjvuQHJycswU4Zo1azBjxgz0798fVqsVqampuOOOO1BQUBD3vidPngxAH2mLnm48ceIEAGDSpEltTj8a79VoCwDr1q2DJElYt24dtmzZggkTJsDlcqF///6iTTAYxMqVKzFmzBg4HA64XC5MmDAB7733XsLzJKJpGjZs2IDRo0dj0KBBcfsjkQhk+cI/9bIsg4hi+v/48eNYsWIF+vTpg61bt2LgwIFxx7HZbPjnf/5nLFmyJGb7DTfcgLy8PKxbt67d18zY1YinzBi7hhERfvSjH+E3v/kNBg8ejB/84Acwm83Yvn07Hn30URw5cgQvv/xy3Ot+/vOfo7CwEDNmzMCUKVOwadMmPP3007Db7fj000/xu9/9DnfffTemTJmCjRs34qGHHkJubi5uvfXWuGPNmzcPu3fvxve//31YrVZs3rwZ8+fPx/Hjx/HGG2/EtH399dcxZ84cpKSkYNq0aUhLS8Pf//53vPjiiygoKEBBQQHMZnPMa/72t79h6dKlmDx5Mv7xH/8Rp06dEvvmzp2LUaNGYerUqUhLS0NFRQXeffddTJ06FZs3b8aMGTMA6GHnxIkTWL9+PSZOnIhJkyaJYyQnJ1/BTwD43e9+h23btuHuu+/GnDlz0NTUBAAIBAL49re/jcLCQowePRqPPvooQqEQtmzZghkzZuC//uu/8MQTT3zl8T/77DPU1NTgvvvuS7j/vvvuw4IFC1BeXo6UlBT86le/wj333BMztbZu3TpEIhE89thjyMjIuOj5LBZL3LZx48Zhw4YNKC4uxpAhQ77ymhm7KnXvABVjrKMgwZTZm2++SQDo0UcfpVAoJLYHAgGaNm0aAaB9+/aJ7YsWLSIAlJqaSl988YXYfurUKTKbzeR2u2nw4MFUXV0t9u3Zs4cA0PTp02POPXPmTAJAGRkZVFFRIbY3NTXRyJEjCQDt2rVLbD98+DCZTCYaPXo01dbWxhxr2bJlBIBefvllsc2Y4gJAb7/9dsI+KS0tjdt2+vRp8ng8lJeXF7P9q6bMJk6cSG39k2m817KyMrFt7dq1BIAkSaLt27fHvWbBggUEgBYvXkyapontjY2NlJ+fT2azOabf2vLaa68RAHrrrbcS7g+Hw7Rw4ULKzs6m1NRUevjhh6muri6mzaRJkwgA7dix4yvPl8irr75KAGjNmjWX9XrGrgY8ZcbYNewXv/gFHA4HfvGLX8BkujAgbDab8eKLLwIAfvvb38a97qmnnsKAAQPE91/72tdw6623oqGhAc8//zzS0tLEvrFjx2LAgAH49NNPE17DU089BY/HI753Op3irqT169eL7W+88QbC4TBWrVqF1NTUmGPMnz8faWlpCa919OjReOSRRxKeOzc3N25bVlYW7r33XpSUlODkyZMJX9eR7rnnHkydOjVmm6ZpWL16NQYNGoSFCxfGTMW5XC4sXLgQwWAQmzdv/srjl5eXA0CbIzuKomDJkiUoLy9HbW0t1qxZEzfqVVVVBQDIycm5lLcmGOc2roWxnoinzBi7RrW0tODgwYPweDx46aWX4vaHQiEAwLFjx+L2jR49Om5bVlYWAL1mJNG+PXv2JLyOCRMmtLntwIEDYtvu3bsBAFu3bsWOHTviXqOqasJrHTt2bMLzAkBpaSmWLVuGDz74ABUVFQgEAjH7T58+3el3RiW6vuLiYtTV1cHj8cTV5ADA2bNnAST+2bRWW1sLAEhJSbnCK718RoCtqanptmtg7EpxIGLsGlVXVwciQkVFRcIPXUNzc3PctqSkpLhtxghTW/vC4XDC46enpyfcJssyGhoaxLZz584BgBi5aq+2RkaOHz+OsWPHorGxEZMnT8a0adOQlJQEWZZRWFiInTt3xgWkzpDo+oz3evjwYRw+fLjN1yb62bRms9kAAD6f7zKvEMjMzMSxY8dQUVFxWTVAxrntdvtlXwNj3Y0DEWPXKCO43Hjjjdi3b1+3XUd1dXXch2x1dTU0TYPb7RbbjOttbGyEy+Vq9/HbuvPrlVdeQV1dHd555x388Ic/jNk3e/Zs7Ny5s93nACDu1AqHwzHTjwBigl17rs94r/feey/+7//+75KuozVj+tIIWZdj/PjxKCwsxF/+8hdMmTLlkl9vnDt6KpWxnoZriBi7RrlcLgwbNgxHjx5FfX19t13Hhx9+2Oa26Om3m266CcCFqbMr9cUXXwAApk+fHrNd0zR89NFHce0VRQGg36aeiDElVVFREXe8tuqn2jJs2DAkJSVh3759Yuryco0cORIAUFJSctnHmDVrFhRFwZtvvimm69qSaFStuLg45loY64k4EDF2DXvqqafQ0tKCn/zkJwmnX8rKymLWzukMq1atwunTp8X3Xq8XP/vZzwAADz30kNg+Z84cmEwmPPnkk/jyyy/jjlNfX49PPvmk3ec1aoP++te/xmxfvnw5Dh06FNfeqINpqzA4Pz8fAOLW21m5ciXKysrafV2APsX4+OOP4+TJk3j22WcThqJDhw6hurr6K481YcIEyLKMvXv3XtI1RBs0aBDmz5+Pmpoa3HnnnQnfj9/vx8qVKxM+2mTPnj0wmUy45ZZbLvsaGOtuPGXG2DXssccew+7du7F+/Xp89NFHmDp1KjweD86cOYNjx45hz549+M1vfhOzWGBH+8Y3voFRo0bh/vvvh8ViwebNm3HixAn85Cc/wW233SbajRgxAv/93/+Nxx9/HEOGDMF3vvMdDBw4EI2NjSgtLcXOnTsxa9YsvP766+067+zZs7F27Vp873vfw/33348+ffpg9+7dKCoqwl133YUtW7bEtB86dCg8Hg82btwIu92OnJwcSJKExx9/HG63Gw8//DBWrFiBxYsX48CBAxg4cCD27duHQ4cOYeLEiZc8BbdkyRIUFRVh1apV2LJlCyZOnCjWSjp48CA+/fRTfPzxxwlrsKKlpKTgtttuw4cffohAIJBwnaD2eOGFF+D3+/HKK69gyJAhmDJlCkaMGAFVVVFWVoYdO3agtrYWL7zwQszrvF4vdu/ejW9+85txjw1hrEfp7vv+GWMdAxd5dMf//M//0NSpUyklJYVUVaXs7GyaNGkS/ed//iedPXtWtDPWISooKIg7RqK1dgyJ1ugx2h8/fpyWLl1KAwYMILPZTAMHDqTly5dTOBxOeK179+6lBx54gDweD6mqSn379qUxY8bQv/zLv9DRo0dFu/Y8aqOgoIDGjx9PLpeLkpOT6Tvf+Q7t37+/zfe5e/dumjhxIrlcLrHGUfT7LSoqottvv53sdjslJSXRjBkzqKSk5KLrEK1du7bN6wuHw/TGG2/Q+PHjKSkpiSwWC1133XX07W9/m1avXk1er7fN10b77W9/SwBo06ZN7Wp/MX//+9/pkUceoUGDBpHNZiOLxUL9+/enBx98kLZt2xbXft26dQSA3n333Ss+N2PdSSIi6pYkxhi7ps2aNQvr169HWVlZp45AMf0RIIMHD8awYcPw5z//uUvPfdttt6GqqgpHjx4VdViM9URcQ8QYYz2c2WzG0qVLsXXr1jbXg+oMBQUF+PDDD7F8+XIOQ6zH4xoixhi7Bjz44IMoLy/v0sURGxoa8PLLL+O73/1ul52Tsc7CgYgxxq4BkiRh/vz5XXrOe+65p0vPx1hn4hoixhhjjPV6XEPEGGOMsV6PAxFjjDHGej0ORIwxxhjr9TgQMcYYY6zX40DEGGOMsV6PAxFjjDHGej0ORIwxxhjr9TgQMcYYY6zX40DEGGOMsV7v/wNgXu1KbNqkeAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Define colors\n",
    "c1 = 'black' ##Black\n",
    "c2 = 'purple' ##Purple\n",
    "c3 = '#F64C63' ##red\n",
    "c4 = '#4746C2' ##blue\n",
    "c5 = '#29AB87' ##Forest green\n",
    "c6 = '#EF820D' ##Orange F47d43\n",
    "c7 = '#4C86CB' ##Bolt Blue\n",
    "\n",
    "plt.plot(x_2k, y_2k, 'D', color='purple', alpha=0.4, label='PEG2k-AgNP10')\n",
    "plt.plot(x_5k, y_5k, 'o', color=c5, alpha=0.4, label='PEG5k-AgNP10')\n",
    "plt.plot(x_5kau, y_5kau, '^', color=c3, alpha=0.4, label='PEG5k-AuNP5')\n",
    "\n",
    "plt.xlabel('Temperature (°C)', fontsize=14)\n",
    "plt.ylabel('Mass Loss (%)', fontsize=14)\n",
    "\n",
    "plt.gca().spines['top'].set_linewidth(2)\n",
    "plt.gca().spines['bottom'].set_linewidth(2)\n",
    "plt.gca().spines['left'].set_linewidth(2)\n",
    "plt.gca().spines['right'].set_linewidth(2)\n",
    "\n",
    "plt.gca().tick_params(width=2, length=6)\n",
    "\n",
    "legend = plt.legend(frameon=1, edgecolor='black', fontsize=12)\n",
    "frame = legend.get_frame()\n",
    "frame.set_edgecolor('black')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "id": "a7faa371-be00-4aa4-b27e-e36dedb8f2cb",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#PEG2k_Ag10: Difference: 26.85182970684484%\n",
    "#PEG5k_Ag10: Difference: 19.294905190908267%\n",
    "#PEG_Au5: Difference: 26.97830577194786%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "id": "0318f920-1075-4dab-817e-2907d14115b1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PEG2k_Ag10 2.930177361485094 PEG per nm^2\n"
     ]
    }
   ],
   "source": [
    "rho = 10.49e-21 #g/nm^3\n",
    "PEG_wt = 100-65.990168\n",
    "NP_wt = 100-PEG_wt\n",
    "D_NP = 10.8 #nm\n",
    "MW = 3.32108e-21 #g\n",
    "\n",
    "grafting_density = (rho/6)*(PEG_wt/NP_wt)*(D_NP/MW)\n",
    "print(f'PEG2k_Ag10 {grafting_density} PEG per nm^2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "id": "d8d25220-e125-44bb-80a0-030add24c9cb",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PEG5k_Ag10 0.7442387123086497 PEG per nm^2\n"
     ]
    }
   ],
   "source": [
    "rho = 10.49e-21 #g/nm^3\n",
    "PEG_wt = 24.432\n",
    "NP_wt = 100-PEG_wt\n",
    "D_NP = 10.8 #nm\n",
    "MW = 8.2027e-21 #g\n",
    "\n",
    "grafting_density = (rho/6)*(PEG_wt/NP_wt)*(D_NP/MW)\n",
    "print(f'PEG5k_Ag10 {grafting_density} PEG per nm^2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "id": "63ad596b-c895-4ee1-9ddc-53f8f41396e8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PEG5k_Au5 0.9222885299622811 PEG per nm^2\n"
     ]
    }
   ],
   "source": [
    "rho = 19.3e-21 #g/nm^3\n",
    "PEG_wt = 28.16\n",
    "NP_wt = 100-PEG_wt\n",
    "D_NP = 6 #nm\n",
    "MW = 8.2027e-21 #g\n",
    "\n",
    "grafting_density = (rho/6)*(PEG_wt/NP_wt)*(D_NP/MW)\n",
    "print(f'PEG5k_Au5 {grafting_density} PEG per nm^2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a84bbad6-1abe-4066-bcb5-528653dcfd5b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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